Prime p₀= 2309242591009944617 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 52 2 16 2 106 2 22 2 58 2 (?)
a_n: 0 2 30 32 84 86 102 104 210 212 234 236 294 296
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: Orange Kid
db: batch=81, k=14, 28 52 16 106 22 58

STPT(10)	2309240731168395371	0 2 6 8 48 50 90 92 96 98	-1859841549246
SPT(16)	2309240744104369877	0 44 50 84 86 104 146 174 266 294 336 354 356 390 396 440	-1846905574740
SPT(16)	2309240881879194013	0 18 24 58 78 90 108 150 154 196 214 226 246 280 286 304	-1709130750604
STPT(10)	2309241087581828171	0 2 30 32 78 80 126 128 156 158	-1503428116446
SPT(16)	2309242334722055987	0 14 24 74 90 134 174 216 260 302 342 386 402 452 462 476	-256287888630
STPT(10)	2309242370523332117	0 2 30 32 42 44 54 56 84 86	-220486612500
SPT(16)	2309243096498950151	0 18 56 86 158 176 206 228 260 282 312 330 402 432 470 488	505489005534
SPT(16)	2309243118720313697	0 32 60 80 84 102 150 164 180 194 242 260 264 284 312 344	527710369080
STPT(10)	2309243162553526817	0 2 90 92 102 104 114 116 204 206	571543582200
SPT(16)	2309243861715026393	0 6 14 24 44 98 108 126 128 146 156 210 230 240 248 254	1270705081776
SPT(16)	2309244170037669331	0 10 52 82 102 112 120 130 210 220 228 238 258 288 330 340	1579027724714