Prime p₀= 2308242529704322889 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 148 2 40 2 46 2 10 2 64 2 28 2 (?)
a_n: 0 2 150 152 192 194 240 242 252 254 318 320 348 350
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: 350
Found by: Orange Kid
db: batch=81, k=14, 148 40 46 10 64 28

SPT(16)	2308240840057105363	0 40 54 60 70 88 100 154 300 354 366 384 394 400 414 454	-1689647217526
TPT(16)	2308241177206383701	0 2 18 20 78 80 198 200 240 242 468 470 540 542 588 590	-1352497939188
SPT(16)	2308241304043706719	0 18 22 30 52 58 78 84 88 94 114 120 142 150 154 172	-1225660616170
SPT(16)	2308241655840003907	0 6 30 46 52 66 70 130 156 216 220 234 240 256 280 286	-873864318982
STPT(10)	2308241903776263977	0 2 30 32 42 44 54 56 84 86	-625928058912
SPT(16)	2308242152962015799	0 18 48 62 74 92 104 132 140 168 180 198 210 224 254 272	-376742307090
STPT(10)	2308242535880804837	0 2 30 32 42 44 54 56 84 86	6176481948
SPT(16)	2308242553743427429	0 10 18 22 30 42 100 112 360 372 430 442 450 454 462 472	24039104540
SPT(16)	2308242739719511421	0 8 30 66 80 98 156 158 168 170 228 246 260 296 318 326	210015188532
STPT(12)	2308242795754862537	0 2 60 62 72 74 102 104 114 116 174 176	266050539648
SPT(16)	2308242869241943399	0 28 34 52 72 84 132 142 150 160 208 220 240 258 264 292	339537620510