Prime p₀= 2956862890110560087 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 10 2 94 2 28 2 112 2 28 2 (?)
a_n: 0 2 42 44 54 56 150 152 180 182 294 296 324 326
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: 326
Found by: arkiss
db: batch=82, k=14, 40 10 94 28 112 28

SPT(16)	2956861561447132817	0 20 24 126 144 150 156 174 242 260 266 272 290 392 396 416	-1328663427270
TPT(14)	2956861786631575307	0 2 42 44 144 146 240 242 324 326 330 332 354 356	-1103478984780
SPT(16)	2956862012325375929	0 8 20 68 108 144 158 180 188 210 224 260 300 348 360 368	-877785184158
STPT(10)	2956862027704866269	0 2 18 20 30 32 42 44 60 62	-862405693818
STPT(10)	2956862411744389409	0 2 48 50 60 62 72 74 120 122	-478366170678
STPT(12)	2956862677145338847	0 2 30 32 54 56 90 92 114 116 144 146	-212965221240
STPT(10)	2956862910345445457	0 2 30 32 72 74 114 116 144 146	20234885370
SPT(16)	2956863098027194547	0 60 116 140 146 174 200 234 242 276 302 330 336 360 416 476	207916634460
SPT(16)	2956863608013210037	0 30 90 114 154 156 174 184 252 262 280 282 322 346 406 436	717902649950
SPT(16)	2956863617034759919	0 18 64 70 78 88 100 148 264 312 324 334 342 348 394 412	726924199832
STPT(10)	2956863891431569421	0 2 30 32 78 80 126 128 156 158	1001321009334