Prime p₀= 797282251360664087 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 160 2 88 2 16 2 40 2 16 2 (?)
a_n: 0 2 12 14 174 176 264 266 282 284 324 326 342 344
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: 344
Found by: fzs600
db: batch=73, k=14, 10 160 88 16 40 16

SPT(16)	797281609430466913	0 34 36 48 58 78 174 208 246 280 376 396 406 418 420 454	-641930197174
SPT(16)	797281681318076219	0 18 48 84 110 114 150 210 212 272 308 312 338 374 404 422	-570042587868
SPT(16)	797281886934145367	0 56 60 86 96 156 170 186 206 222 236 296 306 332 336 392	-364426518720
STPT(10)	797281947260499971	0 2 6 8 48 50 90 92 96 98	-304100164116
TPT(14)	797282055745557509	0 2 30 32 72 74 78 80 150 152 180 182 210 212	-195615106578
STPT(10)	797282122457086697	0 2 54 56 72 74 90 92 144 146	-128903577390
SPT(16)	797282403683365469	0 24 30 44 114 128 134 158 174 198 204 218 288 302 308 332	152322701382
TPT(14)	797282683976003987	0 2 12 14 24 26 60 62 150 152 210 212 282 284	432615339900
SPT(16)	797283158916532907	0 6 20 62 90 92 120 150 152 182 210 212 240 282 296 302	907555868820
SPT(16)	797283305293919369	0 2 18 32 38 44 60 104 228 272 288 294 300 314 330 332	1053933255282
STPT(10)	797283398786118059	0 2 12 14 30 32 48 50 60 62	1147425453972