Prime p₀= 311030555340278821 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 10 2 70 6 24 56 22 56 24 6 70 2 10 (?)
a_n: 0 10 12 82 88 112 168 190 246 270 276 346 348 358
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: 358
Found by: scrap
db: batch=70, k=14, 10 2 70 6 24 56 22

SPT(14)	311030458564888819	0 58 64 78 94 138 144 148 154 198 214 228 234 292	-96775390002
SPT(14)	311030500453673009	0 8 20 78 84 104 128 174 198 218 224 282 294 302	-54886605812
SPT(14)	311030510564206691	0 30 42 48 146 150 152 186 188 192 290 296 308 338	-44776072130
SPT(14)	311030516467281217	0 12 34 40 46 52 76 180 204 210 216 222 244 256	-38872997604
SPT(14)	311030516735224271	0 30 38 62 66 126 156 182 212 272 276 300 308 338	-38605054550
TPT(12)	311030523103544507	0 2 30 32 42 44 72 74 90 92 180 182	-32236734314
SPT(14)	311030557766354219	0 68 114 138 198 212 234 278 300 314 374 398 444 512	2426075398
SPT(14)	311030569247998549	0 82 112 118 132 138 144 148 154 160 174 180 210 292	13907719728
SPT(14)	311030572122246409	0 28 34 82 130 154 168 184 198 222 270 318 324 352	16781967588
SPT(14)	311030589318308927	0 26 104 114 146 216 266 270 320 390 422 432 510 536	33978030106
SPT(14)	311030590001939953	0 10 48 66 78 88 90 166 168 178 190 208 246 256	34661661132