Prime p₀= 115191264786416141 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 12 18 8 54 6 28 26 28 6 54 8 18 12 (?)
a_n: 0 12 30 38 92 98 126 152 180 186 240 248 266 278
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: 278
Found by: nenym
db: batch=67, k=14, 12 18 8 54 6 28 26

SPT(14)	115191188378326087	0 16 24 30 46 60 70 126 136 150 166 172 180 196	-76408090054
TPT(12)	115191190132090979	0 2 12 14 60 62 102 104 168 170 228 230	-74654325162
SPT(16)	115191208938380879	0 2 38 50 62 80 98 132 170 204 222 240 252 264 300 302	-55848035262
SPT(13)	115191212484109339	0 18 78 84 90 120 144 168 198 204 210 270 288	-52302306802
SPT(14)	115191214712902397	0 44 54 62 80 104 110 186 192 216 234 242 252 296	-50073513744
SPT(14)	115191257420120797	0 4 10 82 90 154 166 180 192 256 264 336 342 346	-7366295344
SPT(14)	115191272975087077	0 16 30 54 66 72 156 250 334 340 352 376 390 406	8188670936
SPT(14)	115191278224181629	0 42 54 70 82 142 144 148 150 210 222 238 250 292	13437765488
TPT(12)	115191278470993559	0 2 168 170 228 230 258 260 282 284 330 332	13684577418
TPT(12)	115191287633373401	0 2 6 8 30 32 36 38 90 92 126 128	22846957260
SPT(14)	115191289493561429	0 32 54 74 120 140 144 278 282 302 348 368 390 422	24707145288