Prime p₀= 2313050595816806147 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: Groo
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2313049790473587359	0 12 20 38 42 68 90 104 168 182 204 230 234 252 260 272	-805343218788
SPT(16)	2313049825015207387	0 4 30 36 46 106 114 132 154 172 180 240 250 256 282 286	-770801598760
STPT(10)	2313049874613031649	0 2 18 20 30 32 42 44 60 62	-721203774498
STPT(10)	2313050240988446987	0 2 24 26 42 44 60 62 84 86	-354828359160
SPT(16)	2313050417352565207	0 36 84 130 132 136 160 172 234 246 270 274 276 322 370 406	-178464240940
SPT(16)	2313050538258369121	0 18 78 106 148 198 238 276 280 318 358 408 450 478 538 556	-57558437026
SPT(16)	2313050635283661127	0 100 130 142 156 210 222 232 270 280 292 346 360 372 402 502	39466854980
STPT(10)	2313050727239636117	0 2 30 32 42 44 54 56 84 86	131422829970
SPT(16)	2313050822687614957	0 34 52 72 100 112 132 150 166 184 204 216 244 264 282 316	226870808810
TPT(14)	2313051057441875057	0 2 72 74 114 116 150 152 180 182 222 224 312 314	461625068910
STPT(10)	2313051183927638849	0 2 30 32 60 62 90 92 120 122	588110832702