Prime p₀= 2642715539620123697 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 16 2 28 2 22 2 16 2 10 2 (?)
a_n: 0 2 72 74 90 92 120 122 144 146 162 164 174 176
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: 176
Found by: RFGuy_KCCO
db: batch=82, k=14, 70 16 28 22 16 10

SPT(16)	2642713229490286699	0 4 40 60 94 160 208 270 328 390 438 504 538 558 594 598	-2310129836998
STPT(10)	2642713950314848997	0 2 30 32 72 74 114 116 144 146	-1589305274700
TPT(14)	2642714140331042651	0 2 30 32 126 128 168 170 210 212 276 278 306 308	-1399289081046
STPT(10)	2642714452017203951	0 2 126 128 168 170 210 212 336 338	-1087602919746
STPT(10)	2642714955929883449	0 2 18 20 30 32 42 44 60 62	-583690240248
SPT(16)	2642715020445810997	0 4 84 96 100 136 186 196 264 274 324 360 364 376 456 460	-519174312700
SPT(16)	2642715819623186719	0 18 48 54 70 90 172 174 178 180 262 282 298 304 334 352	280003063022
STPT(12)	2642716068833537237	0 2 60 62 90 92 114 116 144 146 204 206	529213413540
STPT(10)	2642716278203280161	0 2 36 38 78 80 120 122 156 158	738583156464
SPT(16)	2642716328180762299	0 30 60 72 78 82 88 102 250 264 270 274 280 292 322 352	788560638602
SPT(16)	2642716674534180617	0 32 42 74 86 92 120 126 410 416 444 450 462 494 504 536	1134914056920