Prime p₀= 2313343588559969083 starts a Symmetric tuple of 18 consecutive primes (SPT).
d_n: 0 6 40 38 52 44 16 32 22 14 22 32 16 44 52 38 40 6 (?)
a_n: 0 6 46 84 136 180 196 228 250 264 286 318 334 378 430 468 508 514
All 18 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 514
Found by: WTBroughton
db: batch=81, k=18, 6 40 38 52 44 16 32 22 14

STPT(10)	2313342407521208981	0 2 30 32 78 80 126 128 156 158	-1181038760102
TPT(14)	2313342722985370127	0 2 30 32 72 74 84 86 120 122 132 134 162 164	-865574598956
TPT(14)	2313342812369663609	0 2 12 14 78 80 162 164 318 320 432 434 498 500	-776190305474
SPT(16)	2313342887062718491	0 40 52 58 70 96 102 112 126 136 142 168 180 186 198 238	-701497250592
SPT(16)	2313343090540723531	0 12 36 42 82 90 108 136 222 250 268 276 316 322 346 358	-498019245552
STPT(10)	2313343522597148771	0 2 36 38 78 80 120 122 156 158	-65962820312
SPT(16)	2313343661059095629	0 2 20 38 98 152 248 258 314 324 420 474 534 552 570 572	72499126546
SPT(16)	2313343840894540697	0 20 24 80 84 92 132 152 174 194 234 242 246 302 306 326	252334571614
STPT(10)	2313343925455892081	0 2 156 158 198 200 240 242 396 398	336895922998
STPT(10)	2313344057163643331	0 2 36 38 78 80 120 122 156 158	468603674248
SPT(16)	2313344148940453021	0 42 126 138 178 186 262 276 292 306 382 390 430 442 526 568	560380483938