Prime p₀= 2591857776632976557 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 166 2 16 2 208 2 10 2 10 2 (?)
a_n: 0 2 24 26 192 194 210 212 420 422 432 434 444 446
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: 446
Found by: RFGuy_KCCO
db: batch=82, k=14, 22 166 16 208 10 10

SPT(18)	2591857123813899451	0 12 28 46 48 102 108 126 136 252 262 280 286 340 342 360 376 388	-652819077106
STPT(10)	2591857369635379619	0 2 48 50 90 92 132 134 180 182	-406997596938
TPT(14)	2591857443483877937	0 2 42 44 54 56 84 86 90 92 132 134 210 212	-333149098620
STPT(10)	2591857660838924507	0 2 30 32 42 44 54 56 84 86	-115794052050
TPT(14)	2591857672893942611	0 2 6 8 90 92 138 140 186 188 210 212 306 308	-103739033946
TPT(14)	2591857733190973517	0 2 12 14 30 32 84 86 90 92 114 116 132 134	-43442003040
SPT(16)	2591857904135164807	0 24 120 132 160 174 204 270 304 370 400 414 442 454 550 574	127502188250
TPT(14)	2591857947246649727	0 2 72 74 84 86 114 116 204 206 252 254 354 356	170613673170
SPT(16)	2591858130739758773	0 54 60 84 104 114 170 216 224 270 326 336 356 380 386 440	354106782216
STPT(10)	2591858216968093979	0 2 42 44 90 92 138 140 180 182	440335117422
SPT(16)	2591858343571357153	0 10 18 46 54 124 138 220 294 376 390 460 468 496 504 514	566938380596