Prime p₀= 6234240122110673 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 8 6 22 14 10 6 62 6 10 14 22 6 8 (?)
a_n: 0 8 14 36 50 60 66 128 134 144 158 180 186 194
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: 194
Found by: paulteo
db: batch=62, k=14, 8 6 22 14 10 6 62

SPT(14)	6234219899382901	0 6 30 46 52 108 112 156 160 216 222 238 262 268	-20222727772
SPT(14)	6234224002570673	0 20 44 48 120 146 158 186 198 224 296 300 324 344	-16119540000
SPT(14)	6234229027169933	0 60 74 86 128 144 150 164 170 186 228 240 254 314	-11094940740
SPT(14)	6234233109192563	0 18 54 56 74 80 98 126 144 150 168 170 206 224	-7012918110
SPT(14)	6234237366894629	0 24 44 50 60 80 134 144 198 218 228 234 254 278	-2755216044
SPT(14)	6234237493580059	0 10 22 34 82 84 120 124 160 162 210 222 234 244	-2628530614
SPT(14)	6234256800028297	0 66 94 96 106 112 124 132 144 150 160 162 190 256	16677917624
SPT(14)	6234259163569523	0 20 30 48 56 66 86 120 140 150 158 176 186 206	19041458850
SPT(14)	6234271105964437	0 6 12 76 84 90 142 144 196 202 210 274 280 286	30983853764
SPT(14)	6234274743863869	0 84 112 118 124 154 178 234 258 288 294 300 328 412	34621753196
SPT(14)	6234278247073081	0 52 66 72 106 112 130 132 150 156 190 196 210 262	38124962408