Prime p₀= 3091502426789272607 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 10 2 76 2 58 2 10 2 130 2 (?)
a_n: 0 2 60 62 72 74 150 152 210 212 222 224 354 356
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: 356
Found by: PhilTheNet
db: batch=83, k=14, 58 10 76 58 10 130

STPT(10)	3091501379375847419	0 2 42 44 60 62 78 80 120 122	-1047413425188
SPT(16)	3091501507225197211	0 10 36 40 52 82 150 192 250 292 360 390 402 406 432 442	-919564075396
STPT(10)	3091501581437722511	0 2 36 38 78 80 120 122 156 158	-845351550096
SPT(16)	3091501648525893311	0 66 80 122 140 168 170 176 192 198 200 228 246 288 302 368	-778263379296
STPT(10)	3091501856314990367	0 2 30 32 42 44 54 56 84 86	-570474282240
SPT(16)	3091502085996369029	0 14 78 84 98 132 144 158 234 248 260 294 308 314 378 392	-340792903578
SPT(16)	3091502483761879261	0 16 22 138 240 246 258 268 270 280 292 298 400 516 522 538	56972606654
SPT(16)	3091502587697885887	0 4 22 42 64 96 126 144 172 190 220 252 274 294 312 316	160908613280
SPT(16)	3091503228308027843	0 14 48 56 60 144 170 228 326 384 410 494 498 506 540 554	801518755236
SPT(16)	3091503460397661497	0 14 60 62 66 74 152 206 210 264 342 350 354 356 402 416	1033608388890
SPT(16)	3091503842925117299	0 18 44 54 80 114 150 158 234 242 278 312 338 348 374 392	1416135844692