Prime p₀= 1265370130573631177 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 82 2 94 2 10 2 10 2 (?)
a_n: 0 2 30 32 60 62 144 146 240 242 252 254 264 266
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: 266
Found by: Theadalus
db: batch=77, k=14, 28 28 82 94 10 10

SPT(16)	1265368225735878109	0 18 48 72 88 118 150 172 180 202 234 264 280 304 334 352	-1904837753068
STPT(10)	1265368797834316541	0 2 36 38 78 80 120 122 156 158	-1332739314636
SPT(18)	1265369017630607353	0 10 16 48 58 70 90 94 120 184 210 214 234 246 256 288 294 304	-1112943023824
SPT(16)	1265369025378103103	0 50 66 68 86 108 128 176 210 258 278 300 318 320 336 386	-1105195528074
SPT(16)	1265369654742645757	0 100 162 166 180 184 232 246 250 264 312 316 330 334 396 496	-475830985420
STPT(10)	1265369971506491831	0 2 36 38 78 80 120 122 156 158	-159067139346
STPT(10)	1265370137902232729	0 2 12 14 90 92 168 170 180 182	7328601552
SPT(16)	1265370195953776201	0 16 22 46 90 156 172 178 210 216 232 298 342 366 372 388	65380145024
SPT(16)	1265370304764607819	0 60 70 84 94 114 120 144 148 172 178 198 208 222 232 292	174190976642
STPT(10)	1265371130719175507	0 2 24 26 42 44 60 62 84 86	1000145544330
SPT(16)	1265371177230438637	0 34 66 106 132 144 150 190 216 256 262 274 300 340 372 406	1046656807460