Prime p₀= 2522100491715771017 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 16 2 100 2 4 2 28 2 10 2 (?)
a_n: 0 2 84 86 102 104 204 206 210 212 240 242 252 254
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: 254
Found by: JayPi
db: batch=82, k=14, 82 16 100 4 28 10

STPT(10)	2522098565769329507	0 2 30 32 102 104 174 176 204 206	-1925946441510
STPT(10)	2522098826370525119	0 2 48 50 90 92 132 134 180 182	-1665345245898
STPT(10)	2522099119798164017	0 2 42 44 72 74 102 104 144 146	-1371917607000
SPT(16)	2522099143674872383	0 30 34 66 88 94 118 196 198 276 300 306 328 360 364 394	-1348040898634
SPT(16)	2522099200416191117	0 14 24 66 96 120 134 206 264 336 350 374 404 446 456 470	-1291299579900
SPT(16)	2522099643128090413	0 10 66 76 90 108 126 160 174 208 226 244 258 268 324 334	-848587680604
SPT(16)	2522100766785090577	0 10 22 52 66 84 126 136 210 220 262 280 294 324 336 346	275069319560
STPT(10)	2522100969576539171	0 2 6 8 18 20 30 32 36 38	477860768154
STPT(10)	2522100983229874391	0 2 36 38 78 80 120 122 156 158	491514103374
SPT(16)	2522101450404023531	0 30 32 50 60 92 102 138 140 176 186 218 228 246 248 278	958688252514
TPT(14)	2522101848068301599	0 2 78 80 300 302 462 464 672 674 708 710 720 722	1356352530582