Prime p₀= 313073580157040617 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 22 84 60 14 6 18 178 18 6 14 60 84 22 (?)
a_n: 0 22 106 166 180 186 204 382 400 406 420 480 564 586
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: 586
Found by: UBT - Timbo
db: batch=70, k=14, 22 84 60 14 6 18 178

SPT(14)	313073428435396883	0 14 30 44 56 90 134 156 200 234 246 260 276 290	-151721643734
SPT(14)	313073429380021459	0 18 34 48 78 84 88 90 94 100 130 144 160 178	-150777019158
SPT(14)	313073447604029713	0 24 54 118 154 208 228 286 306 360 396 460 490 514	-132553010904
SPT(14)	313073476397222561	0 26 48 108 132 138 152 336 350 356 380 440 462 488	-103759818056
SPT(14)	313073536945855951	0 16 18 72 118 130 160 168 198 210 256 310 312 328	-43211184666
SPT(14)	313073578047230783	0 6 56 126 128 144 150 164 170 186 188 258 308 314	-2109809834
SPT(14)	313073591984654407	0 30 46 70 90 112 130 156 174 196 216 240 256 286	11827613790
SPT(14)	313073596903095481	0 10 46 60 70 78 90 148 160 168 178 192 228 238	16746054864
TPT(12)	313073608252614659	0 2 30 32 48 50 90 92 228 230 240 242	28095574042
SPT(14)	313073674269699769	0 12 48 54 72 132 138 214 220 280 298 304 340 352	94112659152
SPT(14)	313073690315594563	0 40 60 94 130 144 166 174 196 210 246 280 300 340	110158553946