Prime p₀= 2496758431110309101 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 136 2 148 2 46 2 28 2 178 2 22 2 (?)
a_n: 0 2 138 140 288 290 336 338 366 368 546 548 570 572
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: 572
Found by: JayPi
db: batch=82, k=14, 136 148 46 28 178 22

STPT(10)	2496756334985217629	0 2 42 44 60 62 78 80 120 122	-2096125091472
SPT(16)	2496756415518765779	0 30 32 42 84 98 194 218 354 378 474 488 530 540 542 572	-2015591543322
STPT(10)	2496756758391654137	0 2 30 32 42 44 54 56 84 86	-1672718654964
SPT(16)	2496757263911187817	0 40 46 64 106 126 150 154 222 226 250 270 312 330 336 376	-1167199121284
SPT(16)	2496757324755623197	0 4 10 52 60 114 154 156 190 192 232 286 294 336 342 346	-1106354685904
TPT(14)	2496757468886934359	0 2 30 32 78 80 150 152 252 254 318 320 408 410	-962223374742
SPT(16)	2496758451891847861	0 16 58 120 142 148 196 240 298 342 390 396 418 480 522 538	20781538760
SPT(16)	2496758652693285649	0 58 78 114 130 144 148 160 168 180 184 198 214 250 270 328	221582976548
SPT(16)	2496759088397832301	0 46 82 366 376 382 388 390 448 450 456 462 472 756 792 838	657287523200
SPT(16)	2496759226931840251	0 6 12 28 66 78 132 138 190 196 250 262 300 316 322 328	795821531150
STPT(10)	2496759229178022857	0 2 42 44 72 74 102 104 144 146	798067713756