Prime p₀= 2268488112250809089 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: Orange Kid
db: batch=81, k=10, 2 10 2 76 2

SPT(16)	2268487847992186481	0 6 26 42 68 90 128 138 170 180 218 240 266 282 302 308	-264258622608
STPT(10)	2268487884799026299	0 2 48 50 90 92 132 134 180 182	-227451782790
SPT(16)	2268487898902119121	0 12 28 36 76 112 118 132 196 210 216 252 292 300 316 328	-213348689968
STPT(10)	2268487909802641127	0 2 42 44 72 74 102 104 144 146	-202448167962
SPT(16)	2268488012273805857	0 14 30 62 90 104 152 162 182 192 240 254 282 314 330 344	-99977003232
TPT(14)	2268488069162898437	0 2 72 74 84 86 150 152 204 206 252 254 324 326	-43087910652
SPT(16)	2268488270969228939	0 2 24 30 122 144 164 212 222 270 290 312 404 410 432 434	158718419850
STPT(10)	2268488624368293287	0 2 30 32 102 104 174 176 204 206	512117484198
SPT(16)	2268488632709368417	0 36 52 60 64 66 82 102 154 174 190 192 196 204 220 256	520458559328
SPT(16)	2268488637536872757	0 24 30 44 80 84 114 174 206 266 296 300 336 350 356 380	525286063668
SPT(16)	2268488739339186167	0 30 44 56 114 122 144 174 182 212 234 242 300 312 326 356	627088377078