Prime p₀= 1190829748358235437 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 10 2 10 2 94 2 100 2 28 2 (?)
a_n: 0 2 60 62 72 74 84 86 180 182 282 284 312 314
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: 314
Found by: HenkM
db: batch=77, k=14, 58 10 10 94 100 28

SPT(16)	1190829159593117791	0 22 36 52 66 108 126 130 318 322 340 382 396 412 426 448	-588765117646
SPT(16)	1190829411164504681	0 6 30 50 56 62 86 110 192 216 240 246 252 272 296 302	-337193730756
SPT(16)	1190829466016724299	0 42 54 78 84 138 162 230 282 350 374 428 434 458 470 512	-282341511138
SPT(16)	1190829518439834571	0 18 30 42 58 82 148 156 172 180 246 270 286 298 310 328	-229918400866
SPT(16)	1190829580031699747	0 54 60 80 122 144 222 230 396 404 482 504 546 566 572 626	-168326535690
SPT(16)	1190829644670186251	0 8 126 156 170 176 198 212 216 230 252 258 272 302 420 428	-103688049186
SPT(16)	1190830345598242897	0 4 6 16 30 52 64 66 70 72 84 106 120 130 132 136	597240007460
SPT(16)	1190830433853707617	0 12 46 70 84 94 126 132 214 220 252 262 276 300 334 346	685495472180
STPT(10)	1190830509266212667	0 2 30 32 72 74 114 116 144 146	760907977230
SPT(16)	1190831018326791769	0 12 28 78 102 118 120 148 312 340 342 358 382 432 448 460	1269968556332
STPT(10)	1190831327565803237	0 2 30 32 72 74 114 116 144 146	1579207567800