Prime p₀= 2034851810237377321 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 46 12 62 66 10 14 70 68 70 14 10 66 62 12 46 (?)
a_n: 0 46 58 120 186 196 210 280 348 418 432 442 508 570 582 628
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 628
Found by: MarkRBright
db: batch=80, k=16, 46 12 62 66 10 14 70 68

SPT(16)	2034849882237128149	0 64 84 90 114 160 168 202 240 274 282 328 352 358 378 442	-1928000249172
SPT(16)	2034849888763109557	0 40 52 60 94 102 150 172 174 196 244 252 286 294 306 346	-1921474267764
SPT(16)	2034850032175692079	0 40 64 84 88 102 154 178 204 228 280 294 298 318 342 382	-1778061685242
SPT(16)	2034850262385523109	0 48 60 74 90 134 140 150 158 168 174 218 234 248 260 308	-1547851854212
SPT(16)	2034851300815228223	0 30 38 48 54 110 170 188 300 318 378 434 440 450 458 488	-509422149098
STPT(10)	2034851740190399729	0 2 18 20 30 32 42 44 60 62	-70046977592
SPT(16)	2034852141352899359	0 32 72 78 122 168 212 264 308 360 404 450 494 500 540 572	331115522038
STPT(10)	2034852146758791221	0 2 78 80 138 140 198 200 276 278	336521413900
STPT(10)	2034852203022134957	0 2 24 26 42 44 60 62 84 86	392784757636
SPT(16)	2034852817568611163	0 30 36 78 120 126 186 194 270 278 338 344 386 428 434 464	1007331233842
STPT(10)	2034852823815322331	0 2 6 8 18 20 30 32 36 38	1013577945010