Prime p₀= 316749394199304457 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 34 12 48 30 20 6 10 6 20 30 48 12 34 (?)
a_n: 0 34 46 94 124 144 150 160 166 186 216 264 276 310
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: 310
Found by: marsinph
db: batch=70, k=14, 34 12 48 30 20 6 10

SPT(14)	316749284853189767	0 42 62 74 104 120 152 174 206 222 252 264 284 326	-109346114690
SPT(14)	316749286626293791	0 6 12 22 28 40 48 70 78 90 96 106 112 118	-107573010666
SPT(14)	316749302235346781	0 8 56 66 72 78 110 138 170 176 182 192 240 248	-91963957676
SPT(14)	316749317612035897	0 12 40 54 72 84 94 102 112 124 142 156 184 196	-76587268560
SPT(14)	316749382832874883	0 6 16 24 28 48 78 106 136 156 160 168 178 184	-11366429574
SPT(14)	316749393130803013	0 34 36 54 78 96 120 124 148 166 190 208 210 244	-1068501444
SPT(14)	316749395977668443	0 6 60 140 150 168 228 278 338 356 366 446 500 506	1778363986
SPT(14)	316749421390416163	0 30 64 66 70 78 84 100 106 114 118 120 154 184	27191111706
SPT(14)	316749421912535429	0 30 60 138 168 182 188 192 198 212 242 320 350 380	27713230972
SPT(14)	316749431287875193	0 54 60 88 100 124 130 138 144 168 180 208 214 268	37088570736
SPT(14)	316749434587189861	0 12 48 70 210 220 252 256 288 298 438 460 496 508	40387885404