Prime p₀= 2566059342686461007 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: [SG-FC] hl
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2566058191527988841	0 12 32 38 98 158 186 216 242 272 300 360 420 426 446 458	-1151158472166
TPT(14)	2566058294261387291	0 2 18 20 36 38 60 62 78 80 120 122 210 212	-1048425073716
STPT(10)	2566058364773890739	0 2 18 20 30 32 42 44 60 62	-977912570268
TPT(14)	2566058703942782141	0 2 18 20 36 38 90 92 156 158 216 218 240 242	-638743678866
SPT(16)	2566058742322762279	0 4 82 84 130 154 162 220 222 280 288 312 358 360 438 442	-600363698728
STPT(10)	2566059150744506399	0 2 138 140 180 182 222 224 360 362	-191941954608
SPT(16)	2566060012594947797	0 24 26 66 92 110 152 192 194 234 276 294 320 360 362 386	669908486790
SPT(16)	2566060186975057723	0 4 46 60 88 100 108 114 130 136 144 156 184 198 240 244	844288596716
STPT(10)	2566060481757294017	0 2 12 14 42 44 72 74 84 86	1139070833010
SPT(16)	2566061019795714997	0 30 34 54 72 96 112 154 162 204 220 244 262 282 286 316	1677109253990
SPT(16)	2566061240869301407	0 24 30 36 52 60 66 94 162 190 196 204 220 226 232 256	1898182840400