Prime p₀= 1131139350594294737 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 154 2 28 2 10 2 10 2 16 2 (?)
a_n: 0 2 24 26 180 182 210 212 222 224 234 236 252 254
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: 254
Found by: Theadalus
db: batch=76, k=14, 22 154 28 10 10 16

STPT(10)	1131138153952979069	0 2 18 20 30 32 42 44 60 62	-1196641315668
STPT(10)	1131138356028241577	0 2 30 32 120 122 210 212 240 242	-994566053160
SPT(16)	1131138792709662797	0 30 32 36 56 60 86 134 162 210 236 240 260 264 266 296	-557884631940
STPT(10)	1131138845857582319	0 2 18 20 30 32 42 44 60 62	-504736712418
STPT(10)	1131139094261337431	0 2 6 8 48 50 90 92 96 98	-256332957306
SPT(16)	1131139345049055431	0 48 60 78 92 102 108 126 242 260 266 276 290 308 320 368	-5545239306
STPT(10)	1131139365451872167	0 2 30 32 42 44 54 56 84 86	14857577430
SPT(16)	1131139946928228997	0 22 30 40 64 82 112 114 130 132 162 180 204 214 222 244	596333934260
SPT(16)	1131139961488929013	0 24 66 70 114 168 228 294 310 376 436 490 534 538 580 604	610894634276
STPT(10)	1131140067519866219	0 2 12 14 30 32 48 50 60 62	716925571482
TPT(14)	1131140706564995261	0 2 48 50 78 80 90 92 156 158 186 188 198 200	1355970700524