Prime p₀= 2568369822184481881 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 18 16 36 36 48 44 88 44 48 36 36 16 18 12 (?)
a_n: 0 12 30 46 82 118 166 210 298 342 390 426 462 478 496 508
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: 508
Found by: JayPi
db: batch=82, k=16, 12 18 16 36 36 48 44 88

SPT(16)	2568368748030307543	0 40 66 114 124 154 156 166 168 178 180 210 220 268 294 334	-1074154174338
SPT(16)	2568369247914621157	0 40 84 90 132 142 160 180 196 216 234 244 286 292 336 376	-574269860724
SPT(16)	2568369331133292487	0 10 36 40 52 76 82 106 210 234 240 264 276 280 306 316	-491051189394
SPT(16)	2568369366924156181	0 18 22 42 66 72 102 136 162 196 226 232 256 276 280 298	-455260325700
STPT(10)	2568369440760985247	0 2 12 14 42 44 72 74 84 86	-381423496634
SPT(16)	2568369615147917041	0 6 28 48 60 82 112 126 142 156 186 208 220 240 262 268	-207036564840
SPT(16)	2568370073705900221	0 6 28 30 70 76 106 118 150 162 192 198 238 240 262 268	251521418340
STPT(10)	2568370120479229247	0 2 30 32 42 44 54 56 84 86	298294747366
SPT(16)	2568370239486972469	0 90 120 138 148 154 160 168 280 288 294 300 310 328 358 448	417302490588
STPT(10)	2568370355836306139	0 2 18 20 30 32 42 44 60 62	533651824258
STPT(10)	2568370665203111267	0 2 42 44 72 74 102 104 144 146	843018629386