Prime p₀= 2323758404644480417 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 22 38 24 18 4 20 4 56 4 20 4 18 24 38 22 (?)
a_n: 0 22 60 84 102 106 126 130 186 190 210 214 232 256 294 316
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: 316
Found by: Orange Kid
db: batch=81, k=16, 22 38 24 18 4 20 4 56

SPT(16)	2323757304379474861	0 42 72 108 172 178 192 198 232 238 252 258 322 358 388 430	-1100265005556
SPT(16)	2323757367157476137	0 6 96 104 116 170 174 180 200 206 210 264 276 284 374 380	-1037487004280
STPT(10)	2323757381140077227	0 2 90 92 102 104 114 116 204 206	-1023504403190
SPT(16)	2323757567293996073	0 18 30 36 86 188 246 258 296 308 366 468 518 524 536 554	-837350484344
STPT(10)	2323757646572578397	0 2 24 26 42 44 60 62 84 86	-758071902020
STPT(10)	2323757768378657579	0 2 42 44 90 92 138 140 180 182	-636265822838
STPT(12)	2323758464737349777	0 2 12 14 42 44 60 62 90 92 102 104	60092869360
SPT(16)	2323758719965234621	0 12 66 72 130 136 142 172 180 210 216 222 280 286 340 352	315320754204
STPT(10)	2323758739431320309	0 2 18 20 30 32 42 44 60 62	334786839892
SPT(16)	2323759020172690327	0 6 24 40 42 82 106 142 174 210 234 274 276 292 310 316	615528209910
SPT(16)	2323759422371008577	0 14 20 114 120 132 134 140 174 180 182 194 200 294 300 314	1017726528160