Prime p₀= 955345501553832119 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 46 2 130 2 34 2 70 2 10 2 (?)
a_n: 0 2 42 44 90 92 222 224 258 260 330 332 342 344
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: HenkM
db: batch=76, k=14, 40 46 130 34 70 10

SPT(16)	955344247614267067	0 16 34 42 46 76 84 102 214 232 240 270 274 282 300 316	-1253939565052
SPT(16)	955344293271970523	0 78 80 98 110 164 204 236 258 290 330 384 396 414 416 494	-1208281861596
STPT(10)	955344361279760117	0 2 30 32 42 44 54 56 84 86	-1140274072002
SPT(18)	955344880141351507	0 30 40 52 54 82 100 106 132 184 210 216 234 262 264 276 286 316	-621412480612
SPT(16)	955345192540580969	0 50 84 122 134 152 158 168 194 204 210 228 240 278 312 362	-309013251150
STPT(10)	955345211766416291	0 2 6 8 18 20 30 32 36 38	-289787415828
SPT(16)	955345586527787743	0 30 40 58 100 106 120 148 156 184 198 204 246 264 274 304	84973955624
SPT(16)	955345630966240681	0 30 52 70 72 88 126 160 318 352 390 406 408 426 448 478	129412408562
STPT(10)	955345977982182881	0 2 6 8 48 50 90 92 96 98	476428350762
SPT(16)	955346073509590913	0 8 14 50 78 80 90 98 120 128 138 140 168 204 210 218	571955758794
SPT(16)	955346438818931539	0 34 70 90 190 198 232 234 328 330 364 372 472 492 528 562	937265099420