Prime p₀= 315712324723934519 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 8 22 24 56 28 26 4 26 28 56 24 22 8 (?)
a_n: 0 8 30 54 110 138 164 168 194 222 278 302 324 332
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: 332
Found by: marsinph
db: batch=70, k=14, 8 22 24 56 28 26 4

SPT(14)	315712240479353449	0 4 78 84 102 142 172 180 210 250 268 274 348 352	-84244581070
SPT(14)	315712242373573289	0 32 38 60 138 150 164 168 182 194 272 294 300 332	-82350361230
SPT(16)	315712265974326647	0 26 56 72 74 114 122 126 140 144 152 192 194 210 240 266	-58749607872
SPT(14)	315712269422669543	0 20 50 98 134 176 188 216 228 270 306 354 384 404	-55301264976
SPT(14)	315712303896840533	0 14 36 78 104 144 156 158 170 210 236 278 300 314	-20827093986
SPT(14)	315712313634927623	0 14 24 30 36 74 164 240 330 368 374 380 390 404	-11089006896
SPT(14)	315712332968210287	0 4 6 46 72 82 124 162 204 214 240 280 282 286	8244275768
SPT(16)	315712338373946201	0 2 30 42 56 72 86 98 120 132 146 162 176 188 216 218	13650011682
SPT(14)	315712345418882381	0 48 62 72 98 110 140 168 198 210 236 246 260 308	20694947862
SPT(14)	315712345452270181	0 18 22 42 112 132 172 186 226 246 316 336 340 358	20728335662
SPT(14)	315712351928359481	0 6 32 72 90 98 102 116 120 128 146 186 212 218	27204424962