Prime p₀= 2313117407459768849 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: WTBroughton
db: batch=81, k=10, 2 40 2 16 2

SPT(16)	2313115984110962593	0 30 70 78 136 154 220 234 250 264 330 348 406 414 454 484	-1423348806256
STPT(10)	2313116235758366627	0 2 30 32 42 44 54 56 84 86	-1171701402222
SPT(16)	2313116402438704657	0 4 34 42 72 84 114 142 144 172 202 214 244 252 282 286	-1005021064192
SPT(16)	2313116941374569221	0 36 40 52 138 166 168 190 198 220 222 250 336 348 352 388	-466085199628
STPT(10)	2313117283805240621	0 2 36 38 78 80 120 122 156 158	-123654528228
SPT(16)	2313117368405866849	0 22 54 72 82 88 112 120 172 180 204 210 220 238 270 292	-39053902000
SPT(16)	2313117592199582603	0 24 30 44 56 144 204 218 276 290 350 438 450 464 470 494	184739813754
SPT(16)	2313117609044847821	0 12 30 42 62 98 128 146 192 210 240 276 296 308 326 338	201585078972
STPT(10)	2313117831576862361	0 2 6 8 18 20 30 32 36 38	424117093512
STPT(10)	2313118015697000507	0 2 30 32 72 74 114 116 144 146	608237231658
SPT(16)	2313118117033866143	0 8 30 66 68 126 144 176 228 260 278 336 338 374 396 404	709574097294