Prime p₀= 2353832131888068631 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 22 30 26 54 70 8 28 14 28 8 70 54 26 30 22 (?)
a_n: 0 22 52 78 132 202 210 238 252 280 288 358 412 438 468 490
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: 490
Found by: Landjunge
db: batch=81, k=16, 22 30 26 54 70 8 28 14

SPT(16)	2353830181519777861	0 76 102 168 172 222 238 246 262 270 286 336 340 406 432 508	-1950368290770
SPT(16)	2353830529733081437	0 12 22 30 36 64 84 150 166 232 252 280 286 294 304 316	-1602154987194
SPT(16)	2353830927215902649	0 12 72 104 138 158 198 224 228 254 294 314 348 380 440 452	-1204672165982
SPT(16)	2353830948858925139	0 8 24 30 50 90 134 168 170 204 248 288 308 314 330 338	-1183029143492
STPT(10)	2353831176118767347	0 2 30 32 60 62 90 92 120 122	-955769301284
SPT(16)	2353832004788499841	0 42 46 58 72 130 168 172 396 400 438 496 510 522 526 568	-127099568790
SPT(16)	2353832151716929823	0 18 30 44 120 156 224 260 294 330 398 434 510 524 536 554	19828861192
STPT(10)	2353832878321787477	0 2 24 26 42 44 60 62 84 86	746433718846
STPT(10)	2353833294709287707	0 2 30 32 42 44 54 56 84 86	1162821219076
SPT(16)	2353833485556406481	0 20 42 56 80 96 146 272 336 462 512 528 552 566 588 608	1353668337850
SPT(13)	2353834428751124909	0 24 42 72 120 150 162 174 204 252 282 300 324	2296863056278