Prime p₀= 2567364072936759797 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: SEARCHER
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2567362670207692067	0 2 42 44 72 74 102 104 144 146	-1402729067730
STPT(10)	2567362815796732799	0 2 18 20 30 32 42 44 60 62	-1257140026998
SPT(16)	2567362876563745187	0 14 126 132 146 152 156 170 186 200 204 210 224 230 342 356	-1196373014610
SPT(16)	2567363023260672433	0 30 34 46 60 76 88 108 136 156 168 184 198 210 214 244	-1049676087364
SPT(16)	2567364022124247421	0 12 28 70 78 82 102 108 190 196 216 220 228 270 286 298	-50812512376
SPT(16)	2567364032992864463	0 30 36 50 108 234 278 290 294 306 350 476 534 548 554 584	-39943895334
SPT(18)	2567364200675940739	0 22 24 52 54 82 124 160 178 264 282 318 360 388 390 418 420 442	127739180942
SPT(16)	2567364204242591603	0 14 38 78 90 110 120 170 174 224 234 254 266 306 330 344	131305831806
TPT(14)	2567364260454891251	0 2 6 8 48 50 186 188 228 230 258 260 300 302	187518131454
SPT(16)	2567364589368716663	0 14 78 108 114 120 128 186 218 276 284 290 296 326 390 404	516431956866
SPT(16)	2567364823097170709	0 8 30 32 54 68 74 132 140 198 204 218 240 242 264 272	750160410912