Prime p₀= 2597722044252520253 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 66 12 18 2 12 48 6 16 6 48 12 2 18 12 66 (?)
a_n: 0 66 78 96 98 110 158 164 180 186 234 246 248 266 278 344
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: 344
Found by: RFGuy_KCCO
db: batch=82, k=16, 66 12 18 2 12 48 6 16

SPT(16)	2597719424684148937	0 16 40 42 112 154 156 204 292 340 342 384 454 456 480 496	-2619568371316
SPT(16)	2597721047704087091	0 12 62 72 120 140 150 182 246 278 288 308 356 366 416 428	-996548433162
SPT(16)	2597721184409354083	0 36 48 58 66 124 126 136 138 148 150 208 216 226 238 274	-859843166170
STPT(10)	2597721232631176037	0 2 12 14 42 44 72 74 84 86	-811621344216
SPT(16)	2597721410929365659	0 2 12 24 38 92 98 108 224 234 240 294 308 320 330 332	-633323154594
STPT(10)	2597721630172997957	0 2 30 32 72 74 114 116 144 146	-414079522296
STPT(10)	2597722612904296781	0 2 78 80 138 140 198 200 276 278	568651776528
STPT(10)	2597722669135401089	0 2 42 44 60 62 78 80 120 122	624882880836
STPT(10)	2597722803315217397	0 2 30 32 42 44 54 56 84 86	759062697144
STPT(10)	2597722859690591837	0 2 12 14 42 44 72 74 84 86	815438071584
STPT(10)	2597723603358756557	0 2 24 26 42 44 60 62 84 86	1559106236304