Prime p₀= 167946747614713567 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 24 6 10 12 24 6 2 6 24 12 10 6 24 (?)
a_n: 0 24 30 40 52 76 82 84 90 114 126 136 142 166
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: 166
Found by: JagDoc
db: batch=67, k=14, 24 6 10 12 24 6 2

SPT(14)	167946642602398753	0 4 48 58 108 120 136 168 184 196 246 256 300 304	-105012314814
SPT(14)	167946669487179469	0 40 42 102 118 130 144 148 162 174 190 250 252 292	-78127534098
SPT(14)	167946695296658557	0 4 6 34 60 90 112 114 136 166 192 220 222 226	-52318055010
TPT(12)	167946718502981387	0 2 12 14 54 56 144 146 180 182 222 224	-29111732180
TPT(12)	167946720953191559	0 2 12 14 30 32 78 80 108 110 210 212	-26661522008
SPT(14)	167946734811479539	0 54 90 94 108 112 138 214 240 244 258 262 298 352	-12803234028
SPT(14)	167946756861664577	0 2 30 32 60 66 80 186 200 206 234 236 264 266	9246951010
TPT(14)	167946760793341511	0 2 36 38 60 62 78 80 90 92 168 170 210 212	13178627944
SPT(14)	167946773139440441	0 6 20 32 42 56 86 102 132 146 156 168 182 188	25524726874
SPT(14)	167946781189880279	0 2 80 108 122 192 198 224 230 300 314 342 420 422	33575166712
SPT(14)	167946786508503511	0 6 18 36 90 126 138 160 172 208 262 280 292 298	38893789944