Prime p₀= 2576125069889095001 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 136 2 46 2 22 2 46 2 106 2 28 2 (?)
a_n: 0 2 138 140 186 188 210 212 258 260 366 368 396 398
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: 398
Found by: JayPi
db: batch=82, k=14, 136 46 22 46 106 28

STPT(10)	2576123399590969469	0 2 42 44 90 92 138 140 180 182	-1670298125532
STPT(10)	2576123438735022929	0 2 18 20 30 32 42 44 60 62	-1631154072072
SPT(16)	2576124495951516619	0 28 30 48 124 180 238 264 274 300 358 414 490 508 510 538	-573937578382
SPT(16)	2576124516169539191	0 6 26 38 42 62 68 80 138 150 156 176 180 192 212 218	-553719555810
STPT(10)	2576124903293893067	0 2 30 32 42 44 54 56 84 86	-166595201934
SPT(16)	2576124990546620521	0 22 72 78 126 138 156 198 220 262 280 292 340 346 396 418	-79342474480
SPT(16)	2576125390009593041	0 6 20 42 78 98 120 138 140 158 180 200 236 258 272 278	320120498040
SPT(16)	2576125525296701533	0 16 36 46 58 64 84 106 108 130 150 156 168 178 198 214	455407606532
STPT(10)	2576125786666001819	0 2 18 20 30 32 42 44 60 62	716776906818
SPT(16)	2576125864463482217	0 6 66 84 90 126 132 182 384 434 440 476 482 500 560 566	794574387216
SPT(16)	2576126026596582301	0 10 36 70 72 90 102 142 246 286 298 316 318 352 378 388	956707487300