Prime p₀= 2313744503731153079 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 76 2 88 2 10 2 10 2 154 2 (?)
a_n: 0 2 30 32 108 110 198 200 210 212 222 224 378 380
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: 380
Found by: arkiss
db: batch=81, k=14, 28 76 88 10 10 154

SPT(16)	2313742869690270737	0 14 80 102 104 132 134 192 242 300 302 330 332 354 420 434	-1634040882342
SPT(16)	2313742980464584463	0 6 18 54 110 116 138 146 168 176 198 204 260 296 308 314	-1523266568616
STPT(10)	2313743303530471997	0 2 30 32 60 62 90 92 120 122	-1200200681082
SPT(16)	2313743379802012919	0 8 48 54 78 92 180 194 258 272 360 374 398 404 444 452	-1123929140160
SPT(16)	2313743656702273547	0 14 26 36 50 66 86 92 114 120 140 156 170 180 192 206	-847028879532
STPT(10)	2313743881856997641	0 2 6 8 18 20 30 32 36 38	-621874155438
SPT(16)	2313744727423803809	0 2 78 80 114 128 132 158 174 200 204 218 252 254 330 332	223692650730
SPT(16)	2313744808100271361	0 40 70 76 78 132 166 208 210 252 286 340 342 348 378 418	304369118282
STPT(12)	2313744812184190739	0 2 12 14 30 32 72 74 90 92 102 104	308453037660
SPT(16)	2313744812531945917	0 22 40 70 76 112 174 180 196 202 264 300 306 336 354 376	308800792838
STPT(10)	2313745538468254949	0 2 42 44 60 62 78 80 120 122	1034737101870