Prime p₀= 458273767517271523 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 10 114 2 4 8 46 26 46 8 4 2 114 10 (?)
a_n: 0 10 124 126 130 138 184 210 256 264 268 270 384 394
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: 394
Found by: Cruncher Pete
db: batch=70, k=14, 10 114 2 4 8 46 26

SPT(14)	458273712156742387	0 22 42 64 66 96 234 322 460 490 492 514 534 556	-55360529136
SPT(14)	458273727040822477	0 4 10 54 72 94 96 100 102 124 142 186 192 196	-40476449046
SPT(14)	458273733377678689	0 22 34 42 58 72 118 144 190 204 220 228 240 262	-34139592834
SPT(14)	458273735842887617	0 44 50 60 72 80 86 120 126 134 146 156 162 206	-31674383906
SPT(14)	458273761979673383	0 6 20 30 38 90 98 108 116 168 176 186 200 206	-5537598140
SPT(14)	458273767157440951	0 6 48 58 82 90 96 112 118 126 150 160 202 208	-359830572
SPT(14)	458273810662263319	0 22 48 100 118 150 154 198 202 234 252 304 330 352	43144991796
TPT(12)	458273832682022891	0 2 6 8 48 50 120 122 186 188 288 290	65164751368
STPT(10)	458273840182019759	0 2 18 20 30 32 42 44 60 62	72664748236
SPT(14)	458273856000985001	0 18 42 48 90 96 98 150 152 158 200 206 230 248	88483713478
TPT(12)	458273890240714319	0 2 30 32 78 80 102 104 132 134 168 170	122723442796