Prime p₀= 2732102783275158971 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 64 2 52 2 34 2 10 2 (?)
a_n: 0 2 18 20 30 32 96 98 150 152 186 188 198 200
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 200
Found by: JayPi
db: batch=82, k=14, 16 10 64 52 34 10

SPT(16)	2732101582567634611	0 6 42 66 78 96 102 136 162 196 202 220 232 256 292 298	-1200707524360
STPT(10)	2732101633067419367	0 2 42 44 72 74 102 104 144 146	-1150207739604
SPT(16)	2732101716963527603	0 6 18 66 78 80 114 158 216 260 294 296 308 356 368 374	-1066311631368
SPT(13)	2732101863918461213	0 48 60 90 144 168 174 180 204 258 288 300 348	-919356697758
SPT(16)	2732101934989792091	0 80 86 126 146 168 198 258 308 368 398 420 440 480 486 566	-848285366880
STPT(10)	2732102343545464889	0 2 18 20 30 32 42 44 60 62	-439729694082
STPT(10)	2732103319043590157	0 2 30 32 42 44 54 56 84 86	535768431186
STPT(10)	2732103387994344179	0 2 12 14 30 32 48 50 60 62	604719185208
SPT(16)	2732103501694746019	0 40 88 100 148 172 190 222 340 372 390 414 462 474 522 562	718419587048
SPT(16)	2732103552954353549	0 20 54 90 108 152 192 252 290 350 390 434 452 488 522 542	769679194578
STPT(10)	2732103595777597577	0 2 30 32 42 44 54 56 84 86	812502438606