Prime p₀= 957016258481340401 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 16 2 28 2 22 2 28 2 28 2 (?)
a_n: 0 2 108 110 126 128 156 158 180 182 210 212 240 242
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: 242
Found by: fzs600
db: batch=76, k=14, 106 16 28 22 28 28

SPT(16)	957015231959358353	0 36 48 56 96 176 188 194 210 216 228 308 348 356 368 404	-1026521982048
SPT(16)	957015287140472761	0 10 42 108 112 138 168 216 292 340 370 396 400 466 498 508	-971340867640
SPT(16)	957015409916054311	0 36 40 96 120 186 190 198 238 246 250 316 340 396 400 436	-848565286090
SPT(16)	957015569714652587	0 6 12 32 90 240 270 294 452 476 506 656 714 734 740 746	-688766687814
SPT(16)	957015913626975379	0 42 48 64 102 132 232 244 288 300 400 430 468 484 490 532	-344854365022
SPT(16)	957016193462479421	0 8 20 36 90 110 150 162 206 218 258 278 332 348 360 368	-65018860980
STPT(10)	957016363969779959	0 2 18 20 30 32 42 44 60 62	105488439558
STPT(10)	957016418131651697	0 2 30 32 42 44 54 56 84 86	159650311296
STPT(10)	957017050970306927	0 2 30 32 42 44 54 56 84 86	792488966526
SPT(16)	957017070843642889	0 10 28 58 78 84 94 160 198 264 274 280 300 330 348 358	812362302488
SPT(16)	957017123545607321	0 2 30 38 72 86 110 116 192 198 222 236 270 278 306 308	865064266920