Prime p₀= 848666268596706587 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: [AF>Libristes] Dudumomo
db: batch=73, k=10, 2 22 2 16 2

SPT(16)	848664431869604341	0 10 12 46 78 88 90 136 162 208 210 220 252 286 288 298	-1836727102246
TPT(14)	848664653197485359	0 2 30 32 72 74 132 134 210 212 222 224 228 230	-1615399221228
SPT(16)	848665055301079787	0 44 92 96 116 134 144 212 234 302 312 330 350 354 402 446	-1213295626800
SPT(16)	848665058996272051	0 18 30 76 102 132 156 160 228 232 256 286 312 358 370 388	-1209600434536
STPT(10)	848665114325868701	0 2 36 38 78 80 120 122 156 158	-1154270837886
TPT(14)	848665804565211287	0 2 90 92 114 116 132 134 180 182 210 212 252 254	-464031495300
SPT(16)	848666930099137789	0 28 84 118 148 184 208 220 222 234 258 294 324 358 414 442	661502431202
STPT(12)	848667502019293127	0 2 54 56 84 86 90 92 120 122 174 176	1233422586540
SPT(16)	848667593663879629	0 24 28 34 58 100 150 178 264 292 342 384 408 414 418 442	1325067173042
STPT(10)	848667824253586121	0 2 36 38 78 80 120 122 156 158	1555656879534
SPT(16)	848667898647022409	0 54 68 90 102 152 174 224 258 308 330 380 392 414 428 482	1630050315822