Prime p₀= 1945116261761586437 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 22 2 4 2 22 2 58 2 178 2 (?)
a_n: 0 2 30 32 54 56 60 62 84 86 144 146 324 326
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: 326
Found by: Landjunge
db: batch=80, k=14, 28 22 4 22 58 178

STPT(10)	1945115070966638189	0 2 12 14 90 92 168 170 180 182	-1190794948248
STPT(10)	1945115116678634609	0 2 18 20 60 62 102 104 120 122	-1145082951828
STPT(10)	1945115195839146827	0 2 60 62 72 74 84 86 144 146	-1065922439610
TPT(14)	1945115219352130871	0 2 6 8 36 38 48 50 78 80 138 140 168 170	-1042409455566
TPT(14)	1945115285278405517	0 2 114 116 132 134 144 146 270 272 294 296 342 344	-976483180920
SPT(16)	1945116126126634801	0 18 22 28 40 42 112 126 142 156 226 228 240 246 250 268	-135634951636
STPT(10)	1945116280623391607	0 2 30 32 42 44 54 56 84 86	18861805170
SPT(16)	1945116631680320671	0 6 18 52 58 72 100 102 226 228 256 270 276 310 322 328	369918734234
SPT(16)	1945116816786866561	0 2 42 60 72 132 152 168 200 216 236 296 308 326 366 368	555025280124
SPT(16)	1945117148955454627	0 4 30 72 82 130 142 184 282 324 336 384 394 436 462 466	887193868190
SPT(16)	1945117321522309261	0 18 42 70 130 196 228 252 346 370 402 468 528 556 580 598	1059760722824