Prime p₀= 2034852146758791221 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 58 2 58 2 76 2 (?)
a_n: 0 2 78 80 138 140 198 200 276 278
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: 278
Found by: MarkRBright
db: batch=80, k=10, 2 76 2 58 2

SPT(16)	2034850032175692079	0 40 64 84 88 102 154 178 204 228 280 294 298 318 342 382	-2114583099142
SPT(16)	2034850262385523109	0 48 60 74 90 134 140 150 158 168 174 218 234 248 260 308	-1884373268112
SPT(16)	2034851300815228223	0 30 38 48 54 110 170 188 300 318 378 434 440 450 458 488	-845943562998
STPT(10)	2034851740190399729	0 2 18 20 30 32 42 44 60 62	-406568391492
SPT(16)	2034851810237377321	0 46 58 120 186 196 210 280 348 418 432 442 508 570 582 628	-336521413900
SPT(16)	2034852141352899359	0 32 72 78 122 168 212 264 308 360 404 450 494 500 540 572	-5405891862
STPT(10)	2034852203022134957	0 2 24 26 42 44 60 62 84 86	56263343736
SPT(16)	2034852817568611163	0 30 36 78 120 126 186 194 270 278 338 344 386 428 434 464	670809819942
STPT(10)	2034852823815322331	0 2 6 8 18 20 30 32 36 38	677056531110
SPT(16)	2034852872849236477	0 16 70 94 100 102 114 144 202 232 244 246 252 276 330 346	726090445256
TPT(14)	2034853724131168151	0 2 78 80 156 158 168 170 180 182 210 212 288 290	1577372376930