Prime p₀= 2556519456762206561 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 28 2 22 2 4 2 118 2 130 2 (?)
a_n: 0 2 36 38 66 68 90 92 96 98 216 218 348 350
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: 350
Found by: RFGuy_KCCO
db: batch=82, k=14, 34 28 22 4 118 130

STPT(10)	2556517842623821169	0 2 30 32 60 62 90 92 120 122	-1614138385392
SPT(16)	2556518549564010961	0 18 40 42 48 52 66 100 168 202 216 220 226 228 250 268	-907198195600
STPT(10)	2556518961478476737	0 2 30 32 42 44 54 56 84 86	-495283729824
STPT(10)	2556519280923898061	0 2 36 38 78 80 120 122 156 158	-175838308500
STPT(10)	2556519297829393241	0 2 36 38 78 80 120 122 156 158	-158932813320
SPT(16)	2556519399324427219	0 4 48 78 82 132 184 190 222 228 280 330 334 364 408 412	-57437779342
SPT(16)	2556519596432780527	0 16 54 106 154 156 184 190 216 222 250 252 300 352 390 406	139670573966
SPT(16)	2556519949454203147	0 4 6 34 46 70 120 162 244 286 336 360 372 400 402 406	492691996586
STPT(10)	2556520158187155869	0 2 42 44 60 62 78 80 120 122	701424949308
SPT(16)	2556520175209571677	0 10 52 150 156 172 240 460 462 682 750 766 772 870 912 922	718447365116
SPT(16)	2556520499966308927	0 60 162 174 214 252 262 276 280 294 304 342 382 394 496 556	1043204102366