Prime p₀= 1297245587947986431 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 136 2 58 2 10 2 16 2 130 2 4 2 (?)
a_n: 0 2 138 140 198 200 210 212 228 230 360 362 366 368
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: 368
Found by: HenkM
db: batch=77, k=14, 136 58 10 16 130 4

STPT(10)	1297243594049532299	0 2 42 44 60 62 78 80 120 122	-1993898454132
STPT(12)	1297243614360159899	0 2 12 14 42 44 138 140 168 170 180 182	-1973587826532
TPT(14)	1297243965617023427	0 2 12 14 84 86 120 122 150 152 444 446 462 464	-1622330963004
STPT(10)	1297244526790936811	0 2 6 8 48 50 90 92 96 98	-1061157049620
SPT(16)	1297244574709454099	0 50 78 98 114 120 158 180 182 204 242 248 264 284 312 362	-1013238532332
SPT(16)	1297244814895439149	0 24 48 54 64 70 82 90 322 330 342 348 358 364 388 412	-773052547282
SPT(16)	1297245664331777731	0 16 30 42 70 76 82 96 106 120 126 132 160 172 186 202	76383791300
STPT(10)	1297245729397951547	0 2 30 32 42 44 54 56 84 86	141449965116
SPT(16)	1297245974356903583	0 24 50 80 90 116 126 138 146 158 168 194 204 234 260 284	386408917152
STPT(10)	1297245997357327781	0 2 30 32 78 80 126 128 156 158	409409341350
SPT(16)	1297246070990673899	0 2 20 72 98 102 104 132 140 168 170 174 200 252 270 272	483042687468