Prime p₀= 2975272876639336109 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 280 2 16 2 88 2 40 2 28 2 4 2 (?)
a_n: 0 2 282 284 300 302 390 392 432 434 462 464 468 470
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: 470
Found by: Roadranner
db: batch=82, k=14, 280 16 88 40 28 4

STPT(10)	2975271051450780869	0 2 48 50 90 92 132 134 180 182	-1825188555240
STPT(10)	2975271708347290949	0 2 42 44 60 62 78 80 120 122	-1168292045160
SPT(16)	2975271989606954813	0 6 26 66 74 90 98 116 138 156 164 180 188 228 248 254	-887032381296
SPT(16)	2975272029684405053	0 14 18 26 38 44 80 98 126 144 180 186 198 206 210 224	-846954931056
STPT(10)	2975272110750127157	0 2 54 56 72 74 90 92 144 146	-765889208952
SPT(16)	2975272439401933313	0 38 44 80 144 168 194 200 234 240 266 290 354 390 396 434	-437237402796
STPT(10)	2975272903172092067	0 2 30 32 42 44 54 56 84 86	26532755958
SPT(16)	2975272984884002707	0 4 6 24 34 64 94 130 150 186 216 246 256 274 276 280	108244666598
SPT(16)	2975273041099030081	0 12 40 88 102 168 172 222 256 306 310 376 390 438 466 478	164459693972
SPT(16)	2975273152302929017	0 30 40 42 70 72 150 184 192 226 304 306 334 336 346 376	275663592908
SPT(16)	2975273614745322349	0 4 42 72 112 118 130 144 238 252 264 270 310 340 378 382	738105986240