Prime p₀= 1271860898707172237 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 28 2 10 2 178 2 4 2 52 2 (?)
a_n: 0 2 72 74 102 104 114 116 294 296 300 302 354 356
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: 356
Found by: xii5ku
db: batch=77, k=14, 70 28 10 178 4 52

TPT(14)	1271859496306932941	0 2 36 38 126 128 258 260 270 272 300 302 378 380	-1402400239296
SPT(16)	1271859837339211741	0 10 12 148 166 208 210 222 286 298 300 342 360 496 498 508	-1061367960496
SPT(16)	1271860300028596843	0 4 48 54 94 108 118 144 154 180 190 204 244 250 294 298	-598678575394
STPT(10)	1271860552175409479	0 2 48 50 90 92 132 134 180 182	-346531762758
SPT(16)	1271860716605914189	0 28 40 60 102 124 172 184 198 210 258 280 322 342 354 382	-182101258048
SPT(16)	1271860718580214271	0 12 36 60 66 98 116 168 200 252 270 302 308 332 356 368	-180126957966
SPT(18)	1271861418702186799	0 22 78 130 142 214 258 322 324 328 330 394 438 510 522 574 630 652	519995014562
SPT(16)	1271861466522041953	0 4 34 70 130 166 174 186 238 250 258 294 354 390 420 424	567814869716
STPT(10)	1271861530363020731	0 2 36 38 78 80 120 122 156 158	631655848494
SPT(16)	1271861585755102613	0 6 18 20 56 60 74 90 104 120 134 138 174 176 188 194	687047930376
SPT(16)	1271862126813465659	0 2 20 38 80 98 120 128 132 140 162 180 222 240 258 260	1228106293422