Prime p₀= 2280576243999227957 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 112 2 64 2 52 2 58 2 106 2 (?)
a_n: 0 2 30 32 144 146 210 212 264 266 324 326 432 434
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: 434
Found by: Landjunge
db: batch=81, k=14, 28 112 64 52 58 106

SPT(16)	2280574962700437757	0 12 34 72 90 142 184 216 280 312 354 406 424 462 484 496	-1281298790200
SPT(16)	2280575171316688651	0 52 108 138 142 150 168 220 270 322 340 348 352 382 438 490	-1072682539306
STPT(10)	2280575507101447091	0 2 6 8 48 50 90 92 96 98	-736897780866
SPT(16)	2280576102252122489	0 24 44 72 90 140 150 152 192 194 204 254 272 300 320 344	-141747105468
SPT(16)	2280576190287237881	0 2 8 56 86 98 132 212 306 386 420 432 462 510 516 518	-53711990076
STPT(10)	2280576225635589491	0 2 30 32 78 80 126 128 156 158	-18363638466
STPT(10)	2280576372943078919	0 2 18 20 60 62 102 104 120 122	128943850962
SPT(16)	2280576375367711273	0 40 46 54 84 100 186 244 276 334 420 436 466 474 480 520	131368483316
TPT(14)	2280576574884740591	0 2 6 8 18 20 30 32 96 98 138 140 198 200	330885512634
SPT(16)	2280576716319554423	0 24 26 68 110 114 128 150 284 306 320 324 366 408 410 434	472320326466
SPT(16)	2280576741293919637	0 6 22 34 52 66 72 84 142 154 160 174 192 204 220 226	497294691680