Prime p₀= 1214566681765656533 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 56 54 36 52 18 8 16 14 16 8 18 52 36 54 56 (?)
a_n: 0 56 110 146 198 216 224 240 254 270 278 296 348 384 438 494
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: 494
Found by: xii5ku
db: batch=77, k=16, 56 54 36 52 18 8 16 14

SPT(16)	1214565178435948667	0 14 30 56 72 116 122 132 224 234 240 284 300 326 342 356	-1503329707866
SPT(16)	1214565316524391063	0 46 84 130 136 144 154 264 280 390 400 408 414 460 498 544	-1365241265470
STPT(10)	1214565517813618307	0 2 30 32 42 44 54 56 84 86	-1163952038226
STPT(10)	1214565986676463781	0 2 6 8 48 50 90 92 96 98	-695089192752
SPT(16)	1214566031994034961	0 38 92 96 120 156 168 170 258 260 272 308 332 336 390 428	-649771621572
SPT(16)	1214566501577237101	0 16 28 96 112 130 156 178 300 322 348 366 382 450 462 478	-180188419432
STPT(10)	1214567090700655589	0 2 42 44 60 62 78 80 120 122	408934999056
TPT(14)	1214567162434438289	0 2 12 14 162 164 222 224 318 320 378 380 432 434	480668781756
SPT(16)	1214567258254345343	0 14 24 36 56 78 80 116 168 204 206 228 248 260 270 284	576488688810
STPT(10)	1214567599355185487	0 2 24 26 42 44 60 62 84 86	917589528954
SPT(16)	1214567707409184871	0 10 12 22 36 42 66 78 100 112 136 142 156 166 168 178	1025643528338