Prime p₀= 568124772413443439 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 20 40 2 46 60 24 26 24 60 46 2 40 20 (?)
a_n: 0 20 60 62 108 168 192 218 242 302 348 350 390 410
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 410
Found by: marsinph
db: batch=71, k=14, 20 40 2 46 60 24 26

SPT(14)	568124642781466261	0 30 46 58 60 66 96 112 142 148 150 162 178 208	-129631977178
SPT(14)	568124648586696989	0 12 30 32 50 104 144 170 210 264 282 284 302 314	-123826746450
SPT(14)	568124671667814761	0 8 56 66 126 140 180 236 276 290 350 360 408 416	-100745628678
SPT(14)	568124677397479877	0 26 44 56 90 104 110 126 132 146 180 192 210 236	-95015963562
SPT(14)	568124726737676741	0 20 62 92 98 110 132 176 198 210 216 246 288 308	-45675766698
SPT(16)	568124727591298099	0 4 28 70 78 84 112 120 172 180 208 214 222 264 288 292	-44822145340
SPT(14)	568124773747863763	0 16 28 36 54 88 106 138 156 190 208 216 228 244	1334420324
SPT(14)	568124781692608081	0 30 112 130 148 222 250 288 316 390 408 426 508 538	9279164642
SPT(16)	568124782637391349	0 24 52 54 60 88 102 154 198 250 264 292 298 300 328 352	10223947910
SPT(14)	568124797142519741	0 36 60 120 146 152 158 210 216 222 248 308 332 368	24729076302
SPT(14)	568124807885475857	0 20 30 44 66 74 86 144 156 164 186 200 210 230	35472032418