Prime p₀= 2309092729198556879 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: MarkRBright
db: batch=81, k=10, 2 46 2 40 2

SPT(16)	2309091438840856693	0 34 88 90 100 130 136 148 156 168 174 204 214 216 270 304	-1290357700186
SPT(16)	2309092363243182799	0 52 148 162 168 192 232 240 280 288 328 352 358 372 468 520	-365955374080
STPT(10)	2309092487892317117	0 2 42 44 72 74 102 104 144 146	-241306239762
SPT(16)	2309092513123653911	0 8 20 56 62 90 150 212 216 278 338 366 372 408 420 428	-216074902968
TPT(14)	2309092621984802681	0 2 18 20 30 32 156 158 228 230 306 308 360 362	-107213754198
TPT(14)	2309092726164202607	0 2 24 26 30 32 54 56 222 224 312 314 324 326	-3034354272
STPT(10)	2309092763643317537	0 2 12 14 72 74 132 134 144 146	34444760658
SPT(16)	2309092905919557679	0 12 22 34 64 78 82 120 172 210 214 228 258 270 280 292	176721000800
SPT(16)	2309093299386327757	0 6 24 42 64 72 76 94 132 150 154 162 184 202 220 226	570187770878
TPT(14)	2309093551562824097	0 2 120 122 234 236 324 326 414 416 420 422 432 434	822364267218
SPT(16)	2309093786635840159	0 4 54 60 88 112 118 180 202 264 270 294 322 328 378 382	1057437283280