Prime p₀= 4626456263013488249 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 16 2 22 2 76 2 76 2 82 2 (?)
a_n: 0 2 90 92 108 110 132 134 210 212 288 290 372 374
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: 374
Found by: mmonnin
db: batch=85, k=14, 88 16 22 76 76 82

SPT(16)	4626455113534432727	0 50 54 90 96 110 132 150 206 224 246 260 266 302 306 356	-1149479055522
STPT(10)	4626455317620626459	0 2 12 14 30 32 48 50 60 62	-945392861790
SPT(18)	4626455390297616649	0 12 48 54 72 112 114 160 180 232 252 298 300 340 358 364 400 412	-872715871600
SPT(22)	4626455557418651611	0 22 40 70 72 96 130 198 228 252 256 282 286 310 340 408 442 466 468 498 516 538	-705594836638
STPT(10)	4626455988250518941	0 2 36 38 78 80 120 122 156 158	-274762969308
SPT(16)	4626456077163790603	0 6 40 88 100 138 210 258 376 424 496 534 546 594 628 634	-185849697646
SPT(16)	4626456279721568783	0 60 96 108 140 150 168 170 234 236 254 264 296 308 344 404	16708080534
STPT(10)	4626456776650459571	0 2 6 8 18 20 30 32 36 38	513636971322
SPT(16)	4626457071576340199	0 8 42 44 78 108 122 162 170 210 224 254 288 290 324 332	808562851950
STPT(10)	4626457118291419637	0 2 30 32 72 74 114 116 144 146	855277931388
SPT(16)	4626457173108642371	0 12 42 48 96 162 216 230 288 302 356 422 470 476 506 518	910095154122