Prime p₀= 2350394306528646947 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 28 2 58 2 28 2 34 2 52 2 (?)
a_n: 0 2 84 86 114 116 174 176 204 206 240 242 294 296
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: 296
Found by: Xenon
db: batch=81, k=14, 82 28 58 28 34 52

STPT(10)	2350392990926300141	0 2 6 8 48 50 90 92 96 98	-1315602346806
STPT(10)	2350393234521758549	0 2 12 14 90 92 168 170 180 182	-1072006888398
SPT(16)	2350393371589648027	0 96 114 172 180 186 234 282 364 412 460 466 474 532 550 646	-934938998920
STPT(10)	2350393573335416261	0 2 30 32 120 122 210 212 240 242	-733193230686
SPT(16)	2350393733134313467	0 12 24 34 60 82 160 234 280 354 432 454 480 490 502 514	-573394333480
SPT(16)	2350394277976148699	0 8 32 60 72 74 80 92 150 162 168 170 182 210 234 242	-28552498248
SPT(16)	2350394355707291977	0 24 30 72 94 100 114 132 202 220 234 240 262 304 310 334	49178645030
SPT(16)	2350394372107985351	0 18 32 92 98 102 120 210 278 368 386 390 396 456 470 488	65579338404
SPT(16)	2350394465474644627	0 34 54 64 82 90 112 120 124 132 154 162 180 190 210 244	158945997680
STPT(10)	2350394751294728597	0 2 30 32 42 44 54 56 84 86	444766081650
SPT(16)	2350394901676764751	0 12 42 76 78 90 118 120 208 210 238 250 252 286 316 328	595148117804