Prime p₀= 2322966620434827977 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: Orange Kid
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2322965180057373941	0 90 92 152 176 180 188 218 270 300 308 312 336 396 398 488	-1440377454036
STPT(10)	2322965946558840197	0 2 24 26 42 44 60 62 84 86	-673875987780
STPT(10)	2322966098360922107	0 2 30 32 60 62 90 92 120 122	-522073905870
STPT(10)	2322966133319584931	0 2 6 8 48 50 90 92 96 98	-487115243046
SPT(16)	2322966283155632161	0 22 28 36 66 76 112 138 160 186 222 232 262 270 276 298	-337279195816
SPT(16)	2322966288430974061	0 10 12 40 42 52 66 82 126 142 156 166 168 196 198 208	-332003853916
SPT(16)	2322966670557494981	0 26 38 66 108 116 120 158 210 248 252 260 302 330 342 368	50122667004
SPT(16)	2322966691871421109	0 30 34 40 108 160 192 210 232 250 282 334 402 408 412 442	71436593132
SPT(16)	2322966966954546317	0 54 80 140 144 216 224 234 356 366 374 446 450 510 536 590	346519718340
SPT(16)	2322967013877362561	0 8 18 20 62 120 122 158 192 228 230 288 330 332 342 350	393442534584
STPT(10)	2322967241258968217	0 2 42 44 132 134 222 224 264 266	620824140240