I have discarded the cases reported by the computer in which the sounds were matched twice, e.g. pop/tot, and those where they matched in several locations in the word, e.g. spot/stop, since these are not quite minimal.
There are no spelling problems, since /p/ is consistently spelled <p> or <pp> while /t/ is <t> or <tt>.
There is very little danger of confusion where the contrast is initial or medial, but much more when it is final in the word. There is, therefore, a slight danger of rude-word confusion in the case of ship/shit.
Interesting pairs include:
capering catering
chapel chattel
expensive extensive
paragon Tarragon
perky turkey
puma tumour
The density value is 4%. The list makes 437 semantic contrasts, a semantic loading of just under 50%.
apache attache apaches attaches ape eight apes eights append attend appended attended appending attending appends attends aspen Aston beep beat beeps beats beep beet beeps beets bleep bleat bleeping bleating bleeps bleats blips blitz burp Bert cap cat caps cats cape Kate caper cater capered catered capering catering capers caters carp cart carping carting carps carts chap chat chaps chats chapping chatting chapel chattel chapels chattels cheap cheat cheaper cheetah cheep cheat cheeping cheating cheeps cheats chip chit chips chits clapper clatter clappers clatters clasp classed coop coot coops coots cop cot cope coat copes coats coping coating copings coatings cope cote copes cotes copper cottar coppers cottars copper cotter coppers cotters cops cots copse cots Corp caught Corp court corpse courts couplet cutlet couplets cutlets crape crate crepe crate cup cut cupping cutting cups cuts cuppa cutter cuppas cutters dep debt disport distort disported distorted disporting distorting disports distorts dope dote dopes dotes doping doting dopey dhoti expend extend expended extended expending extending expends extends expensive extensive expensively extensively export extort exported extorted exporting extorting exports extorts fillip fillet fillips fillets flap flat flapper flatter flappers flatters flaps flats flip flit flipping flitting flips flits gap GATT gape gait gapes gaits gape gate gapes gates gaping gating gawp ghat gawps ghats grape grate grapes grates grape great grasp grassed grip grit gripping gritting grips grits grippe greet grippes greets grope groat gropes groats hap hat haps hats harp hart harps harts harp heart harps hearts harpy hearty heap heat heaping heating heaps heats hip hit hips hits hoop hoot hooping hooting hoops hoots hop hot hopper hotter hopping hotting hops hots kelp Celt kepi Katie kip kit kipping kitting kips kits knap gnat knaps gnats lap lat leap lied leopard lettered leper letter lepers letters lip lit lisp list lisping listing lisps lists loop loot looping looting loops loots loop lute loops lutes lop lot lops lots map mat mapping matting maps mats map matt mope moat mopes moats mope mote mopes motes nap gnat naps gnats nappy natty neap neat nip knit nipper knitter nippers knitters nipping knitting nips knits nip nit nips nits nope note oppugn attune oppugned attuned oppugning attuning oppugns attunes P T P's T's P tea P's teas P tee P's tees P ti P's tease pa ta pa tar paced taste pack tack packed tacked packing tacking packs tacks packs tax pah ta pah tar pail tail pails tails pail tale pails tales paint taint painted tainted painting tainting paints taints pair tare pairs tares pair tear pairing tearing pairs tears pale tail paled tailed paling tailing pales tails pale tale pales tales paler tailor pall tall pallid tallied pally tally pamper tamper pampered tampered pampering tampering pampers tampers pan tan panned tanned panning tanning pans tans pang tang pangs tangs panic tannic pansy tansy pansies tansies pap tap pap pat paper taper papered tapered papering tapering papers tapers par ta par tar paragon tarragon parcel tarsal parcels tarsals pare tare pares tares pare tear pares tears paring tearing parr ta parr tar parrs tars parry tarry parried tarried parries tarries parrying tarrying pars tars parse tars part tart parted tarted parting tarting partly tartly parts tarts paste taste pasted tasted pastes tastes pastier tastier pastiest tastiest pasting tasting pasty tasty Pat tat pate tape pates tapes pats taps patted tatted patter tatter pattered tattered patters tatters patting tatting Patty tatty Paul tall Paula taller pauper porter paupers porters pause tawse pauses tawses pause tors paw tor paws tors paw tore pawky talkie pawl tall pawn torn paws tawse pax tacks pax tax paxes taxes paxes taxis pea T peas T's pea tea peas teas pea tee peas tees pea ti peach teach peaches teaches peaching teaching peak teak peal teal peals teals pear tare pears tares pear tear pears tears peas tease pease teas pease tease pease tees pease T's peck tec pecks tecs peck tech pecks techs pee T pees T's pee tea pees teas pee tee peed teed peeing teeing pees tees pee ti peek teak peel teal peels teals peep Pete peep peat peeper peter peepers peters peer tear peerless tearless peers tears peer tier peers tiers pees tease Peg teg pegs tegs peke teak pen ten pens tens pence tense pending tending pennant tenant pennants tenants penned tend pennon tenon pennons tenons pension tension pensions tensions pep pet pepping petting peps pets perk Turk perks Turks perky turkey perm term permed termed perming terming perms terms perry Terry Persian tertian pest test pests tests petered teetered petering teetering peters teeters pewter tutor Philip fillet pi Thai pi tie pick tic picks tics pick tick picker ticker pickers tickers picking ticking picks ticks picket ticket picketed ticketed picketing ticketing pickets tickets pickle tickle pickled tickled pickles tickles pickling tickling pie Thai pies Thais pie tie pied tied pies ties pied tide pier tear piers tears pier tier piers tiers pike tike pikes tikes pile tile piled tiled piles tiles piling tiling piles tiles pill till pills tills pillage tillage pillar tiller pillars tillers pin tin pins tins pinned tinned pinning tinning pine tine pined tined pines tines ping ting pinged tinged pinging tinging pings tings pinker tinker pinny tinny pip pit pipe type piped typed piping typing pipes types pip tip pipped tipped pipping pitting pique teak Pisa teaser plop plot plopping plotting plops plots poise toys poke toque pokes toques pole toll poled tolled poling tolling poles tolls poled told poll toll polled tolled polling tolling polls tolls polled told pom Tom pommy Tommy pone tone pones tones pony Tony pooh to pooh too pooh two pool tool pooled tooled pooling tooling pools tools poop toot poops toots poor tour poor Tours poorest tourist pop top popped topped popping topping pops tops pop pot popping potting pops pots Pope tope poppa potter poppas potters poppa topper poppas toppers poppy potty poppies potties porch torch porches torches pore tor pores tors pore tore pores tawse pork talk porker talker porkers talkers pork torque porn torn porous Taurus port taught porter tauter portion torsion portly tautly pose toes pose tows posh tosh poshes toshes posses tosses post toast posted toasted poster toaster posters toasters posting toasting postmaster toastmaster postmasters toastmasters posts toasts pot top pots tops potted totted potter totter pottered tottered pottering tottering pottery tottery pour tor pours tors pour tore pours tawse pout tout pouted touted pouting touting pouts touts power tower powered towered powering towering powers towers praise trays pram tram prams trams prance trance prances trances prancing trancing prate trait pray tray prays trays prayed trade press tress presses tresses prey tray preys trays preyed trade price trice priced triced prices trices pricing tricing prick trick pricked tricked pricking tricking pricks tricks prickle trickle prickled trickled prickles trickles prickling trickling pride tried prim trim primly trimly primmed trimmed primmer trimmer primmest trimmest primming trimming prims trims prior trier priors triers prise tries privet trivet prize tries prod trod produce traduce produced traduced producer traducer producers traducers produces traduces producing traducing Prof trough prole troll proles trolls Pru true prune Troon pry try pried tried pries tries prying trying pub tub pubs tubs puck tuck pucks tucks pucker tucker puckers tuckers pucks tucks puff tough puffs toughs puffed tuft puffy toughie pug tug pugs tugs pukka tucker pule tulle puma tumour pumas tumours pun ton puns tons pun tun puns tuns Punic tunic punning tonning pup putt pups putts puppy puttee puppies puttees purred turd purse terse purser terser putt tut putted tutted putting tutting putts tuts pyre tire pyres tires pyre tyre pyres tyres pyx ticks pyx tics quip quit quipping quitting quips quits rap rat rapping ratting raps rats rape rate rapes rates raping rating rapid ratted reaper Rita rep ret reps rets report retort reported retorted reporting retorting reports retorts reprieve retrieve reprieved retrieved reprieves retrieves reprieving retrieving respiration restoration respirations restorations rip writ rips writs ripe right ripely rightly ripeness rightness ripest rightist ripe rite ripe wright ripe write riper writer Ripon written ripple Writtle rips writs rope rote rope wrote sap sat sapper satyr sappers satyrs scoop scoot scooping scooting scoops scoots seep seat seeping seating seeps seats sepal settle sepals settles sheep sheet ship shit shipping shitting ships shits shop shot shops shots sip sit sipping sitting sips sits skip skit skips skits skipper skitter skippered skittered skippering skittering skippers skitters slap slat slaps slats sleep sleet sleepy sleety sleepier sleetier sleepiest sleetiest sleeping sleeting sleeps sleets slip slit slipping slitting slips slits slop slot slopping slotting slops slots sop sot sops sots soup suit souping suiting soups suits spa star spas stars spade staid spade stayed Spain stain spake stake spake steak span Stan spank stank spanned stand spar star sparred starred sparring starring spars stars spare stair spares stairs spare stare spared stared sparing staring spares stares spark stark spate state spates states spay stay spayed stayed spaying staying spays stays spayed staid spear steer speared steered spearing steering spears steers sped stead speed steed speeds steeds speller Stella speller stellar spew stew spewed stewed spewing stewing spews stews spick stick spill still spilled stilled spilling stilling spills stills spilt stilt Spode stowed spoke stoke spokes stokes spool stool spools stools spore store spores stores spout stout spouts stouts sprain strain sprained strained spraining straining sprains strains spray stray sprayed strayed spraying straying sprays strays spring string springier stringier springiest stringiest springing stringing springs strings springy stringy sprung strung spud stud spuds studs spun stun spunk stunk spur stir spurred stirred spurring stirring spurs stirs spurn stern spurns sterns sputter stutter sputtered stuttered sputtering stuttering sputters stutters spy sty spies sties spy stye spies styes step stet super suitor supers suitors supple subtle suppler subtler supplest subtlest swap swat swapping swatting swaps swats swap swot swapping swotting swaps swots sweep suite sweeps suites sweep sweet sweeper sweeter sweeps sweets swop swat swopping swatting swops swats swop swot swopping swotting swops swots tap tat tapping tatting taps tats tip tit tipple tittle tips tits top tot tope tote topes totes toping toting topper totter toppers totters topping totting tops tots torpor tauter traipse traits tripe trite tup tut tups tuts type tight types tights typist tightest unpainted untainted upmost utmost upper utter uppermost uttermost uppers utters warp wart warps warts water-power water-tower weep wheat whelp welt whelps welts whip whit whip wit whippier wittier whippiest wittiest whippy witty whips wits whop watt whops watts whoop hoot whooping hooting whoops hoots whop watt whops watts whop what whop wot whops what's wipe white wiper whiter wipes whites wiping whiting wipe wight wipes wights wisp whist wrap rat wrapper ratter wrappers ratters wrapping ratting wraps rats