Prime p₀= 2942138745354636431 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 22 2 64 2 70 2 40 2 58 2 (?)
a_n: 0 2 36 38 60 62 126 128 198 200 240 242 300 302
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: 302
Found by: pelpolaris
db: batch=82, k=14, 34 22 64 70 40 58

SPT(16)	2942137915391572109	0 18 32 38 44 200 212 218 234 240 252 408 414 420 434 452	-829963064322
STPT(10)	2942138165588419079	0 2 18 20 60 62 102 104 120 122	-579766217352
SPT(16)	2942138287888726649	0 8 62 72 74 78 108 140 192 224 254 258 260 270 324 332	-457465909782
STPT(10)	2942138302072026647	0 2 42 44 72 74 102 104 144 146	-443282609784
SPT(16)	2942138361356472907	0 24 40 70 82 136 154 156 250 252 270 324 336 366 382 406	-383998163524
SPT(16)	2942138731458132977	0 12 14 42 44 72 150 194 222 266 344 372 374 402 404 416	-13896503454
STPT(10)	2942139131767235999	0 2 18 20 30 32 42 44 60 62	386412599568
SPT(16)	2942139238275404801	0 2 6 56 62 98 156 168 230 242 300 336 342 392 396 398	492920768370
SPT(16)	2942139320247988997	0 24 42 44 56 92 152 174 212 234 294 330 342 344 362 386	574893352566
SPT(16)	2942139391992885209	0 14 20 42 60 68 74 104 108 138 144 152 170 192 198 212	646638248778
STPT(10)	2942139571711331261	0 2 6 8 48 50 90 92 96 98	826356694830