Prime p₀= 1264557252302684099 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 76 2 58 2 10 2 136 2 70 2 (?)
a_n: 0 2 60 62 138 140 198 200 210 212 348 350 420 422
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: 422
Found by: xii5ku
db: batch=77, k=14, 58 76 58 10 136 70

STPT(10)	1264556071947724781	0 2 36 38 78 80 120 122 156 158	-1180354959318
TPT(14)	1264556494245697031	0 2 30 32 66 68 120 122 168 170 420 422 456 458	-758056987068
TPT(14)	1264556935010102729	0 2 210 212 312 314 450 452 582 584 618 620 648 650	-317292581370
SPT(16)	1264557003354514973	0 24 26 50 80 104 108 126 188 206 210 234 264 288 290 314	-248948169126
SPT(16)	1264557152477062033	0 58 76 88 174 184 196 240 244 288 300 310 396 408 426 484	-99825622066
SPT(16)	1264557200238129799	0 18 60 70 82 88 102 108 124 130 144 150 162 172 214 232	-52064554300
SPT(16)	1264557759428822029	0 48 108 118 142 168 202 208 294 300 334 360 384 394 454 502	507126137930
STPT(10)	1264557818557195157	0 2 30 32 72 74 114 116 144 146	566254511058
SPT(16)	1264558084309575541	0 6 10 30 48 52 66 76 132 142 156 160 178 198 202 208	832006891442
SPT(16)	1264558196652452813	0 14 26 48 86 114 116 140 144 168 170 198 236 258 270 284	944349768714
STPT(10)	1264558405525499657	0 2 60 62 72 74 84 86 144 146	1153222815558