Prime p₀= 2257311083526914057 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Orange Kid
db: batch=81, k=10, 2 22 2 16 2

STPT(10)	2257310509518542207	0 2 30 32 72 74 114 116 144 146	-574008371850
TPT(14)	2257310723588628791	0 2 156 158 210 212 270 272 276 278 360 362 408 410	-359938285266
SPT(16)	2257310757248068031	0 26 48 96 110 132 170 180 188 198 236 258 272 320 342 368	-326278846026
SPT(16)	2257310757571336459	0 84 90 100 124 174 208 214 264 270 304 354 378 388 394 478	-325955577598
TPT(14)	2257310844671366189	0 2 12 14 102 104 138 140 192 194 198 200 222 224	-238855547868
SPT(16)	2257311048538638979	0 22 78 102 132 144 162 168 214 220 238 250 280 304 360 382	-34988275078
STPT(10)	2257312079028083447	0 2 30 32 42 44 54 56 84 86	995501169390
SPT(16)	2257312300190760133	0 6 16 60 84 94 100 154 156 210 216 226 250 294 304 310	1216663846076
SPT(16)	2257312388406315689	0 14 18 38 50 60 72 98 144 170 182 192 204 224 228 242	1304879401632
SPT(16)	2257312726398918403	0 40 46 90 108 160 174 204 220 250 264 316 334 378 384 424	1642872004346
STPT(10)	2257312837093828271	0 2 6 8 18 20 30 32 36 38	1753566914214