Prime p₀= 1512491515875390977 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 40 2 46 2 76 2 10 2 10 2 (?)
a_n: 0 2 42 44 84 86 132 134 210 212 222 224 234 236
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: 236
Found by: Theadalus
db: batch=78, k=14, 40 40 46 76 10 10

SPT(16)	1512490421917242511	0 58 76 78 130 240 328 358 420 450 538 648 700 702 720 778	-1093958148466
TPT(14)	1512490491003158477	0 2 72 74 114 116 150 152 180 182 270 272 402 404	-1024872232500
SPT(16)	1512490575265193087	0 14 20 84 114 120 132 170 174 212 224 230 260 324 330 344	-940610197890
SPT(16)	1512491063166379909	0 42 54 64 138 162 204 214 288 298 340 364 438 448 460 502	-452709011068
SPT(16)	1512491193086613499	0 4 48 88 118 132 138 172 210 244 250 264 294 334 378 382	-322788777478
TPT(14)	1512491494192120859	0 2 72 74 132 134 198 200 222 224 258 260 282 284	-21683270118
SPT(16)	1512491638129356737	0 2 6 62 74 140 144 146 150 152 156 222 234 290 294 296	122253965760
STPT(10)	1512492650740676357	0 2 30 32 42 44 54 56 84 86	1134865285380
SPT(16)	1512492765584133049	0 34 52 58 120 160 198 204 238 244 282 322 384 390 408 442	1249708742072
SPT(16)	1512493011730540157	0 54 96 126 206 236 246 260 366 380 390 420 500 530 572 626	1495855149180
STPT(10)	1512493189515159737	0 2 54 56 72 74 90 92 144 146	1673639768760