Prime p₀= 2987305431233018681 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 52 2 76 2 16 2 22 2 76 2 (?)
a_n: 0 2 36 38 90 92 168 170 186 188 210 212 288 290
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: 290
Found by: MarkRBright
db: batch=82, k=14, 34 52 76 16 22 76

SPT(16)	2987303784113556329	0 24 42 80 120 132 164 188 234 258 290 302 342 380 398 422	-1647119462352
SPT(16)	2987304409540706881	0 30 66 70 72 138 160 168 190 198 220 286 288 292 328 358	-1021692311800
SPT(16)	2987304674183189489	0 12 30 50 108 114 120 122 180 182 188 194 252 272 290 302	-757049829192
STPT(10)	2987305043696263391	0 2 6 8 48 50 90 92 96 98	-387536755290
STPT(10)	2987305210446940259	0 2 30 32 60 62 90 92 120 122	-220786078422
STPT(12)	2987305247909807597	0 2 12 14 42 44 90 92 120 122 132 134	-183323211084
SPT(16)	2987305458633482549	0 14 44 78 90 120 122 140 162 180 182 212 224 258 288 302	27400463868
SPT(16)	2987305513438036643	0 6 14 24 66 74 90 98 156 164 180 188 230 240 248 254	82205017962
SPT(16)	2987305577144377651	0 10 22 40 60 120 126 130 162 166 172 232 252 270 282 292	145911358970
SPT(16)	2987305613661615907	0 42 94 96 112 124 156 180 346 370 402 414 430 432 484 526	182428597226
SPT(16)	2987306324253686077	0 24 40 52 70 100 154 172 222 240 294 324 342 354 370 394	893020667396