Prime p₀= 167071618302578351 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 12 20 4 60 24 56 24 60 4 20 12 6 (?)
a_n: 0 6 18 38 42 102 126 182 206 266 270 290 302 308
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: 308
Found by: gaballus
db: batch=67, k=14, 6 12 20 4 60 24 56

SPT(16)	167071548648691111	0 36 76 78 88 106 150 178 228 256 300 318 328 330 370 406	-69653887240
TPT(12)	167071549619558531	0 2 6 8 36 38 48 50 78 80 96 98	-68683019820
SPT(14)	167071577916848113	0 6 10 18 48 54 66 148 160 166 196 204 208 214	-40385730238
SPT(14)	167071583579230537	0 34 70 76 82 100 114 172 186 204 210 216 252 286	-34723347814
SPT(14)	167071601045948447	0 50 56 72 80 116 140 186 210 246 254 270 276 326	-17256629904
SPT(14)	167071609740469627	0 42 72 84 112 130 154 162 186 204 232 244 274 316	-8562108724
SPT(14)	167071618645367153	0 50 60 104 120 134 138 176 180 194 210 254 264 314	342788802
SPT(14)	167071624874264573	0 14 24 68 78 134 168 236 270 326 336 380 390 404	6571686222
SPT(14)	167071637608152107	0 32 42 50 90 120 134 150 164 194 234 242 252 284	19305573756
SPT(14)	167071643971158193	0 46 78 88 106 108 126 130 148 150 168 178 210 256	25668579842
SPT(16)	167071648379081713	0 36 70 78 88 156 166 168 208 210 220 288 298 306 340 376	30076503362