Prime p₀= 2313116235758366627 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: WTBroughton
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2313115044227965787	0 54 66 84 96 110 182 200 216 234 306 320 332 350 362 416	-1191530400840
SPT(16)	2313115177847650019	0 8 42 44 84 90 110 132 140 162 182 188 228 230 264 272	-1057910716608
SPT(16)	2313115230647062687	0 4 6 24 40 46 54 70 240 256 264 270 286 304 306 310	-1005111303940
TPT(14)	2313115261200611687	0 2 30 32 42 44 72 74 120 122 150 152 210 212	-974557754940
STPT(10)	2313115811459762159	0 2 12 14 90 92 168 170 180 182	-424298604468
SPT(16)	2313115984110962593	0 30 70 78 136 154 220 234 250 264 330 348 406 414 454 484	-251647404034
SPT(16)	2313116402438704657	0 4 34 42 72 84 114 142 144 172 202 214 244 252 282 286	166680338030
SPT(16)	2313116941374569221	0 36 40 52 138 166 168 190 198 220 222 250 336 348 352 388	705616202594
STPT(10)	2313117283805240621	0 2 36 38 78 80 120 122 156 158	1048046873994
SPT(16)	2313117368405866849	0 22 54 72 82 88 112 120 172 180 204 210 220 238 270 292	1132647500222
STPT(10)	2313117407459768849	0 2 42 44 60 62 78 80 120 122	1171701402222