Prime p₀= 23126317161312767 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 6 30 68 4 20 118 20 4 68 30 6 6 (?)
a_n: 0 6 12 42 110 114 134 252 272 276 344 374 380 386
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: 386
Found by: [B@P] Daniel
db: batch=65, k=14, 6 6 30 68 4 20 118

TPT(12)	23126241438131339	0 2 30 32 72 74 102 104 132 134 228 230	-75723181428
SPT(14)	23126243003259343	0 30 100 106 156 166 180 184 198 208 258 264 334 364	-74158053424
SPT(14)	23126245409103871	0 6 12 52 66 102 130 132 160 196 210 250 256 262	-71752208896
SPT(14)	23126254772837743	0 16 18 60 108 118 150 154 186 196 244 286 288 304	-62388475024
SPT(13)	23126256085228693	0 18 48 60 66 126 138 150 210 216 228 258 276	-61076084074
SPT(14)	23126286737663771	0 8 12 26 48 72 78 110 116 140 162 176 180 188	-30423648996
SPT(14)	23126352021769147	0 40 46 84 100 114 120 166 172 186 202 240 246 286	34860456380
SPT(14)	23126354440061239	0 72 94 100 142 148 174 178 204 210 252 258 280 352	37278748472
SPT(14)	23126355625194491	0 8 38 120 146 176 192 206 222 252 278 360 390 398	38463881724
SPT(14)	23126356065956183	0 20 24 36 66 78 110 174 206 218 248 260 264 284	38904643416
SPT(14)	23126367150080521	0 10 78 82 150 162 178 192 208 220 288 292 360 370	49988767754