Prime p₀= 1025709321916050131 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 124 2 52 2 34 2 88 2 10 2 10 2 (?)
a_n: 0 2 126 128 180 182 216 218 306 308 318 320 330 332
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: 332
Found by: Theadalus
db: batch=76, k=14, 124 52 34 88 10 10

STPT(10)	1025708516624550329	0 2 18 20 30 32 42 44 60 62	-805291499802
STPT(12)	1025708696324440619	0 2 72 74 78 80 162 164 168 170 240 242	-625591609512
SPT(16)	1025708920508002433	0 6 14 26 36 50 140 150 164 174 264 278 288 300 308 314	-401408047698
STPT(10)	1025708928311419967	0 2 24 26 42 44 60 62 84 86	-393604630164
SPT(16)	1025709228250442803	0 16 30 60 100 106 138 144 250 256 288 294 334 364 378 394	-93665607328
STPT(10)	1025709321360028181	0 2 30 32 60 62 90 92 120 122	-556021950
SPT(16)	1025709625977355313	0 26 36 38 96 98 114 144 260 290 306 308 366 368 378 404	304061305182
STPT(10)	1025709644885601857	0 2 30 32 42 44 54 56 84 86	322969551726
SPT(16)	1025709697189392487	0 12 52 84 94 96 112 174 202 264 280 282 292 324 364 376	375273342356
SPT(18)	1025709732259529839	0 12 40 54 60 114 120 142 264 298 420 442 448 502 508 522 550 562	410343479708
SPT(16)	1025709923550567833	0 6 48 78 120 140 174 186 218 230 264 284 326 356 398 404	601634517702