Prime p₀= 2929952232784846391 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 28 2 10 2 46 2 22 2 28 2 (?)
a_n: 0 2 36 38 66 68 78 80 126 128 150 152 180 182
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: 182
Found by: Landjunge
db: batch=82, k=14, 34 28 10 46 22 28

SPT(16)	2929951260454419023	0 30 44 50 56 78 128 146 168 186 236 258 264 270 284 314	-972330427368
STPT(10)	2929951331613834887	0 2 60 62 72 74 84 86 144 146	-901171011504
SPT(16)	2929951662068558669	0 2 38 68 90 128 138 152 168 182 192 230 252 282 318 320	-570716287722
STPT(10)	2929951917969295559	0 2 18 20 30 32 42 44 60 62	-314815550832
SPT(16)	2929952006445752921	0 36 110 120 156 162 168 206 222 260 266 272 308 318 392 428	-226339093470
SPT(16)	2929952208617038853	0 120 248 260 266 290 308 336 398 426 444 468 474 486 614 734	-24167807538
SPT(16)	2929952246280538981	0 12 22 28 42 102 130 162 256 288 316 376 390 396 406 418	13495692590
STPT(10)	2929952281331262137	0 2 30 32 42 44 54 56 84 86	48546415746
TPT(14)	2929952324994538769	0 2 48 50 72 74 90 92 102 104 198 200 210 212	92209692378
STPT(10)	2929952346537149081	0 2 30 32 78 80 126 128 156 158	113752302690
SPT(16)	2929952384272127633	0 6 84 144 150 170 180 198 266 284 294 314 320 380 458 464	151487281242