Prime p₀= 2171636203280559317 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 118 2 88 2 70 2 4 2 (?)
a_n: 0 2 12 14 42 44 162 164 252 254 324 326 330 332
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: 332
Found by: Landjunge
db: batch=81, k=14, 10 28 118 88 70 4

SPT(16)	2171634017938594163	0 38 78 80 110 114 140 168 206 234 260 264 294 296 336 374	-2185341965154
STPT(10)	2171634219127973651	0 2 6 8 18 20 30 32 36 38	-1984152585666
SPT(16)	2171634560720339189	0 24 30 48 72 80 90 104 168 182 192 200 224 242 248 272	-1642560220128
SPT(18)	2171635135024253399	0 30 42 62 68 98 114 132 264 338 470 488 504 534 540 560 572 602	-1068256305918
SPT(16)	2171635378344841021	0 30 78 88 90 100 132 162 166 196 228 238 240 250 298 328	-824935718296
STPT(10)	2171636039324641007	0 2 24 26 42 44 60 62 84 86	-163955918310
STPT(10)	2171636408940578549	0 2 12 14 30 32 48 50 60 62	205660019232
STPT(10)	2171636501968039439	0 2 12 14 90 92 168 170 180 182	298687480122
TPT(14)	2171636722559624729	0 2 48 50 90 92 132 134 138 140 342 344 378 380	519279065412
SPT(16)	2171637007847251327	0 4 34 60 102 106 120 172 234 286 300 304 346 372 402 406	804566692010
SPT(16)	2171637281296372363	0 6 48 64 84 96 108 118 126 136 148 160 180 196 238 244	1078015813046