Prime p₀= 1095248758660795367 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 46 2 118 2 16 2 58 2 40 2 (?)
a_n: 0 2 24 26 72 74 192 194 210 212 270 272 312 314
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: 314
Found by: [SG-2W]Kurzer
db: batch=76, k=14, 22 46 118 16 58 40

SPT(16)	1095247850792743621	0 22 36 58 70 72 88 102 106 120 136 138 150 172 186 208	-907868051746
STPT(10)	1095248203471958267	0 2 30 32 42 44 54 56 84 86	-555188837100
TPT(14)	1095248210282498609	0 2 30 32 42 44 162 164 192 194 210 212 330 332	-548378296758
SPT(16)	1095248221543840019	0 24 50 80 122 152 164 168 284 288 300 330 372 402 428 452	-537116955348
SPT(16)	1095248379034734451	0 36 42 66 102 202 300 328 330 358 456 556 592 616 622 658	-379626060916
SPT(16)	1095248666369518559	0 42 62 78 174 194 204 240 272 308 318 338 434 450 470 512	-92291276808
SPT(16)	1095249019429081333	0 78 124 144 150 166 186 208 216 238 258 274 280 300 346 424	260768285966
SPT(16)	1095249029946499481	0 36 72 126 180 188 210 212 306 308 330 338 392 446 482 518	271285704114
SPT(16)	1095249162539030329	0 88 150 168 172 174 178 244 288 354 358 360 364 382 444 532	403878234962
TPT(14)	1095249183508363571	0 2 30 32 78 80 156 158 270 272 288 290 336 338	424847568204
TPT(14)	1095249242189224007	0 2 54 56 90 92 132 134 210 212 264 266 420 422	483528428640