Prime p₀= 1265659990668950867 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 58 2 28 2 28 2 88 2 100 2 (?)
a_n: 0 2 12 14 72 74 102 104 132 134 222 224 324 326
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: 326
Found by: HenkM
db: batch=77, k=14, 10 58 28 28 88 100

SPT(16)	1265659583073134423	0 96 128 146 168 186 188 228 308 348 350 368 390 408 440 536	-407595816444
STPT(10)	1265659689295562777	0 2 60 62 72 74 84 86 144 146	-301373388090
SPT(16)	1265659754201950153	0 18 28 30 48 70 90 118 138 166 186 208 226 228 238 256	-236467000714
SPT(16)	1265659824933450407	0 14 26 80 84 110 114 126 140 152 156 182 186 240 252 266	-165735500460
SPT(16)	1265659902479465791	0 36 60 78 88 112 190 210 268 288 366 390 400 418 442 478	-88189485076
TPT(14)	1265659906172275319	0 2 138 140 312 314 390 392 432 434 522 524 630 632	-84496675548
STPT(10)	1265660318652573131	0 2 36 38 78 80 120 122 156 158	327983622264
STPT(10)	1265660917786101869	0 2 48 50 90 92 132 134 180 182	927117151002
STPT(10)	1265661169639560509	0 2 12 14 30 32 48 50 60 62	1178970609642
SPT(16)	1265661181078464133	0 28 54 64 84 120 124 130 294 300 304 340 360 370 396 424	1190409513266
STPT(10)	1265661229433967137	0 2 30 32 72 74 114 116 144 146	1238765016270