Prime p₀= 2522104258883932991 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 136 2 16 2 82 2 64 2 58 2 (?)
a_n: 0 2 30 32 168 170 186 188 270 272 336 338 396 398
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, 28 136 16 82 64 58

TPT(14)	2522101848068301599	0 2 78 80 300 302 462 464 672 674 708 710 720 722	-2410815631392
STPT(10)	2522102251962290909	0 2 18 20 30 32 42 44 60 62	-2006921642082
SPT(16)	2522102868455400361	0 76 112 138 162 180 196 202 306 312 328 346 370 396 432 508	-1390428532630
STPT(10)	2522103017137557611	0 2 6 8 18 20 30 32 36 38	-1241746375380
TPT(14)	2522103148634631257	0 2 12 14 42 44 132 134 150 152 174 176 252 254	-1110249301734
STPT(10)	2522103407564391107	0 2 30 32 72 74 114 116 144 146	-851319541884
STPT(10)	2522104454155392287	0 2 30 32 42 44 54 56 84 86	195271459296
SPT(16)	2522104589176169521	0 6 16 40 82 156 160 172 210 222 226 300 342 366 376 382	330292236530
SPT(16)	2522105219579243719	0 12 22 70 72 78 88 120 172 204 214 220 222 270 280 292	960695310728
SPT(18)	2522105514161203549	0 24 52 54 82 88 112 144 208 234 298 330 354 360 388 390 418 442	1255277270558
STPT(10)	2522105673571608791	0 2 6 8 18 20 30 32 36 38	1414687675800