Prime p₀= 2313118015697000507 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: MarkRBright
db: batch=81, k=10, 2 28 2 40 2

STPT(10)	2313117283805240621	0 2 36 38 78 80 120 122 156 158	-731891759886
SPT(16)	2313117368405866849	0 22 54 72 82 88 112 120 172 180 204 210 220 238 270 292	-647291133658
STPT(10)	2313117407459768849	0 2 42 44 60 62 78 80 120 122	-608237231658
SPT(16)	2313117592199582603	0 24 30 44 56 144 204 218 276 290 350 438 450 464 470 494	-423497417904
SPT(16)	2313117609044847821	0 12 30 42 62 98 128 146 192 210 240 276 296 308 326 338	-406652152686
STPT(10)	2313117831576862361	0 2 6 8 18 20 30 32 36 38	-184120138146
SPT(16)	2313118117033866143	0 8 30 66 68 126 144 176 228 260 278 336 338 374 396 404	101336865636
SPT(16)	2313118434772375897	0 10 24 60 72 130 132 156 190 214 216 274 286 322 336 346	419075375390
STPT(10)	2313118502387593721	0 2 6 8 18 20 30 32 36 38	486690593214
SPT(16)	2313118821140209963	0 18 30 34 60 84 88 118 126 156 160 184 210 214 226 244	805443209456
SPT(16)	2313119846958412351	0 30 52 72 96 100 136 138 340 342 378 382 406 426 448 478	1831261411844