Prime p₀= 165847912728921547 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 40 6 8 12 4 56 4 56 4 12 8 6 40 (?)
a_n: 0 40 46 54 66 70 126 130 186 190 202 210 216 256
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: 256
Found by: L@MiR
db: batch=67, k=14, 40 6 8 12 4 56 4

SPT(14)	165847891091985677	0 12 14 32 42 102 120 134 152 212 222 240 242 254	-21636935870
SPT(14)	165847894141151611	0 22 76 96 120 142 160 168 186 208 232 252 306 328	-18587769936
SPT(14)	165847894654337573	0 18 20 44 80 104 144 170 210 234 270 294 296 314	-18074583974
SPT(14)	165847907814070429	0 34 48 72 142 220 238 324 342 420 490 514 528 562	-4914851118
SPT(14)	165847908688635361	0 52 66 70 126 136 172 240 276 286 342 346 360 412	-4040286186
SPT(14)	165847909031682133	0 34 48 78 100 106 120 124 138 144 166 196 210 244	-3697239414
SPT(14)	165847934146226443	0 24 34 46 60 66 70 114 118 124 138 150 160 184	21417304896
SPT(14)	165847964102971223	0 14 66 78 80 110 150 164 204 234 236 248 300 314	51374049676
SPT(14)	165847981417217093	0 8 26 38 54 56 66 68 78 80 96 108 126 134	68688295546
SPT(14)	165848023172078837	0 30 32 44 56 66 80 126 140 150 162 174 176 206	110443157290
SPT(14)	165848023714026319	0 4 42 54 84 108 120 172 184 208 238 250 288 292	110985104772