Prime p₀= 3688072760063856887 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 46 2 28 2 106 2 40 2 58 2 (?)
a_n: 0 2 84 86 132 134 162 164 270 272 312 314 372 374
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: 374
Found by: Arkhenia
db: batch=84, k=14, 82 46 28 106 40 58

STPT(10)	3688071529178956259	0 2 18 20 30 32 42 44 60 62	-1230884900628
STPT(10)	3688071840897977957	0 2 54 56 72 74 90 92 144 146	-919165878930
SPT(16)	3688071935738302393	0 46 54 108 136 144 166 178 186 198 220 228 256 310 318 364	-824325554494
SPT(16)	3688071967951754393	0 14 20 24 26 38 54 90 104 140 156 168 170 174 180 194	-792112102494
STPT(10)	3688072459393168541	0 2 36 38 78 80 120 122 156 158	-300670688346
SPT(16)	3688072714247226457	0 10 34 52 54 64 204 210 256 262 402 412 414 432 456 466	-45816630430
SPT(22)	3688072892135947591	0 22 28 58 70 90 96 108 132 148 168 190 210 226 250 262 268 288 300 330 336 358	132072090704
SPT(16)	3688073090527270303	0 6 24 48 66 154 234 238 276 280 360 448 466 490 508 514	330463413416
SPT(16)	3688073105317862213	0 30 38 56 66 128 140 176 270 306 318 380 390 408 416 446	345254005326
STPT(10)	3688073742683133059	0 2 12 14 90 92 168 170 180 182	982619276172
STPT(10)	3688073901921091049	0 2 48 50 90 92 132 134 180 182	1141857234162