Prime p₀= 1237966970744283629 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 100 2 70 2 64 2 40 2 10 2 (?)
a_n: 0 2 48 50 150 152 222 224 288 290 330 332 342 344
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: 344
Found by: BlackGoose05
db: batch=77, k=14, 46 100 70 64 40 10

SPT(16)	1237965878273807087	0 6 20 56 122 140 152 186 236 270 282 300 366 402 416 422	-1092470476542
SPT(16)	1237965973593793919	0 12 48 62 72 74 104 114 128 138 168 170 180 194 230 242	-997150489710
SPT(16)	1237966299914521633	0 46 96 106 126 148 198 264 280 346 396 418 438 448 498 544	-670829761996
SPT(16)	1237966362574165937	0 12 26 30 56 116 126 150 356 380 390 450 476 480 494 506	-608170117692
SPT(16)	1237966589551226369	0 30 50 74 92 134 150 164 168 182 198 240 258 282 302 332	-381193057260
SPT(16)	1237966695894238777	0 22 34 36 70 112 120 126 250 256 264 306 340 342 354 376	-274850044852
STPT(10)	1237967162797251581	0 2 30 32 60 62 90 92 120 122	192052967952
STPT(10)	1237967207791092011	0 2 30 32 78 80 126 128 156 158	237046808382
STPT(10)	1237967243329878029	0 2 48 50 90 92 132 134 180 182	272585594400
SPT(16)	1237967307331816877	0 30 54 62 72 132 194 216 260 282 344 404 414 422 446 476	336587533248
STPT(10)	1237967722174092731	0 2 6 8 48 50 90 92 96 98	751429809102