Prime p₀= 2331890934238096961 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 58 2 28 2 46 2 70 2 124 2 (?)
a_n: 0 2 30 32 90 92 120 122 168 170 240 242 366 368
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: 368
Found by: Landjunge
db: batch=81, k=14, 28 58 28 46 70 124

SPT(16)	2331890435984191307	0 2 12 32 84 92 110 114 140 144 162 170 222 242 252 254	-498253905654
STPT(10)	2331890552153524259	0 2 18 20 30 32 42 44 60 62	-382084572702
STPT(10)	2331890659011179807	0 2 30 32 72 74 114 116 144 146	-275226917154
STPT(10)	2331890793299810177	0 2 30 32 42 44 54 56 84 86	-140938286784
SPT(16)	2331890907510304291	0 42 78 82 162 166 172 210 268 306 312 316 396 400 436 478	-26727792670
SPT(16)	2331890930672852531	0 36 48 80 108 132 140 168 170 198 206 230 258 290 302 338	-3565244430
STPT(10)	2331890969639037011	0 2 6 8 18 20 30 32 36 38	35400940050
SPT(16)	2331891265225254877	0 16 132 214 222 334 336 342 364 370 372 484 492 574 690 706	330987157916
SPT(13)	2331891406318736569	0 24 30 60 84 102 192 282 300 324 354 360 384	472080639608
SPT(18)	2331891927919303811	0 8 42 122 168 206 210 230 248 270 288 308 312 350 396 476 510 518	993681206850
STPT(10)	2331892075136648501	0 2 36 38 78 80 120 122 156 158	1140898551540