Prime p₀= 1251938953355337977 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 112 2 46 2 106 2 28 2 10 2 58 2 (?)
a_n: 0 2 114 116 162 164 270 272 300 302 312 314 372 374
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: 374
Found by: HenkM
db: batch=77, k=14, 112 46 106 28 10 58

SPT(16)	1251938062514752297	0 54 70 90 102 112 144 172 252 280 312 322 334 354 370 424	-890840585680
SPT(16)	1251938357683998031	0 42 102 126 130 168 190 280 288 378 400 438 442 466 526 568	-595671339946
STPT(12)	1251938542471263419	0 2 12 14 42 44 48 50 78 80 90 92	-410884074558
STPT(10)	1251938570624114039	0 2 18 20 30 32 42 44 60 62	-382731223938
STPT(10)	1251938724440313821	0 2 6 8 18 20 30 32 36 38	-228915024156
SPT(16)	1251938790642235627	0 16 54 70 72 100 150 162 184 196 246 274 276 292 330 346	-162713102350
SPT(16)	1251939062860703807	0 2 14 30 36 44 66 84 122 140 162 170 176 192 204 206	109505365830
SPT(16)	1251939359992281809	0 24 44 50 128 158 210 254 324 368 420 450 528 534 554 578	406636943832
SPT(16)	1251939520531971613	0 40 138 144 160 214 216 238 276 298 300 354 370 376 474 514	567176633636
STPT(10)	1251939680787689951	0 2 36 38 78 80 120 122 156 158	727432351974
TPT(14)	1251940175395452239	0 2 12 14 48 50 90 92 132 134 138 140 222 224	1222040114262