Prime p₀= 2365479086889402101 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 10 2 58 2 4 2 130 2 40 2 (?)
a_n: 0 2 48 50 60 62 120 122 126 128 258 260 300 302
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: 302
Found by: Merowig
db: batch=81, k=14, 46 10 58 4 130 40

SPT(16)	2365477391679043463	0 6 20 24 38 48 54 90 224 260 266 276 290 294 308 314	-1695210358638
STPT(10)	2365477735229219591	0 2 30 32 78 80 126 128 156 158	-1351660182510
SPT(16)	2365477799089011709	0 48 60 70 78 102 120 144 148 172 190 214 222 232 244 292	-1287800390392
SPT(16)	2365478030490584209	0 4 72 90 114 132 142 184 228 270 280 298 322 340 408 412	-1056398817892
STPT(10)	2365478890589508611	0 2 30 32 78 80 126 128 156 158	-196299893490
SPT(16)	2365479045144164029	0 10 70 78 94 112 120 148 264 292 300 318 334 342 402 412	-41745238072
TPT(14)	2365479168076457099	0 2 18 20 42 44 60 62 132 134 252 254 258 260	81187054998
SPT(16)	2365479339658261439	0 8 20 54 90 174 228 230 252 254 308 392 428 462 474 482	252768859338
TPT(14)	2365479407388027659	0 2 120 122 198 200 210 212 252 254 282 284 288 290	320498625558
STPT(10)	2365479528580383671	0 2 30 32 120 122 210 212 240 242	441690981570
STPT(12)	2365479686997503939	0 2 18 20 30 32 90 92 102 104 120 122	600108101838