Prime p₀= 2566534784432304269 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 88 2 70 2 46 2 28 2 40 2 (?)
a_n: 0 2 48 50 138 140 210 212 258 260 288 290 330 332
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: 332
Found by: JayPi
db: batch=82, k=14, 46 88 70 46 28 40

SPT(16)	2566532788712783477	0 56 60 66 114 126 140 144 236 240 254 266 314 320 324 380	-1995719520792
STPT(10)	2566532819455370609	0 2 18 20 30 32 42 44 60 62	-1964976933660
SPT(16)	2566533370458834317	0 30 36 50 72 80 114 140 156 182 216 224 246 260 266 296	-1413973469952
SPT(16)	2566534073190448159	0 52 54 60 88 138 208 220 222 234 304 354 382 388 390 442	-711241856110
STPT(10)	2566534568824069157	0 2 30 32 72 74 114 116 144 146	-215608235112
SPT(16)	2566534669328447431	0 66 106 120 148 162 210 216 232 238 286 300 328 342 382 448	-115103856838
STPT(10)	2566535235423013247	0 2 30 32 42 44 54 56 84 86	450990708978
SPT(16)	2566535283862804357	0 4 42 46 54 174 190 232 234 276 292 412 420 424 462 466	499430500088
SPT(16)	2566535552633067619	0 4 28 42 58 94 102 120 142 160 168 204 220 234 258 262	768200763350
TPT(14)	2566535837525999177	0 2 24 26 60 62 114 116 210 212 282 284 312 314	1053093694908
SPT(16)	2566535852527289329	0 10 84 88 114 124 142 154 168 180 198 208 234 238 312 322	1068094985060