Prime p₀= 2627533958333188451 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 28 2 28 2 52 2 16 2 40 2 (?)
a_n: 0 2 66 68 96 98 126 128 180 182 198 200 240 242
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: 242
Found by: JayPi
db: batch=82, k=14, 64 28 28 52 16 40

STPT(10)	2627532741936887969	0 2 30 32 60 62 90 92 120 122	-1216396300482
SPT(16)	2627532850738806739	0 24 42 94 120 130 144 154 180 190 204 214 240 292 310 334	-1107594381712
STPT(10)	2627533081492999751	0 2 36 38 78 80 120 122 156 158	-876840188700
SPT(16)	2627533170411388381	0 42 48 58 72 88 90 112 216 238 240 256 270 280 286 328	-787921800070
STPT(10)	2627533668092186039	0 2 18 20 30 32 42 44 60 62	-290241002412
SPT(16)	2627533702076899093	0 4 24 58 90 150 174 178 210 214 238 298 330 364 384 388	-256256289358
SPT(16)	2627533986979591673	0 20 54 84 96 104 140 146 174 180 216 224 236 266 300 320	28646403222
SPT(16)	2627534317738722463	0 10 70 88 154 166 168 196 288 316 318 330 396 414 474 484	359405534012
TPT(14)	2627534614289726549	0 2 18 20 72 74 102 104 342 344 378 380 408 410	655956538098
TPT(14)	2627534768516723237	0 2 54 56 72 74 84 86 132 134 252 254 282 284	810183534786
TPT(14)	2627535096546431759	0 2 18 20 42 44 48 50 162 164 270 272 282 284	1138213243308