Prime p₀= 125517585561680227 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 16 54 12 48 36 26 22 26 36 48 12 54 16 (?)
a_n: 0 16 70 82 130 166 192 214 240 276 324 336 390 406
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: 406
Found by: cpuid
db: batch=67, k=14, 16 54 12 48 36 26 22

SPT(14)	125517518809211759	0 18 20 32 60 72 80 90 98 110 138 150 152 170	-66752468468
TPT(12)	125517522772219559	0 2 18 20 78 80 90 92 102 104 120 122	-62789460668
SPT(14)	125517542988334963	0 30 36 88 96 118 130 156 168 190 198 250 256 286	-42573345264
TPT(12)	125517557814460871	0 2 36 38 48 50 78 80 90 92 168 170	-27747219356
TPT(12)	125517559150787591	0 2 138 140 210 212 216 218 450 452 480 482	-26410892636
TPT(12)	125517573142908641	0 2 6 8 30 32 78 80 90 92 120 122	-12418771586
SPT(14)	125517586716083767	0 52 100 142 186 226 270 286 330 370 414 456 504 556	1154403540
SPT(14)	125517596528567093	0 60 126 140 158 174 180 224 230 246 264 278 344 404	10966886866
SPT(14)	125517630496698217	0 10 40 60 70 96 112 120 136 162 172 192 222 232	44935017990
TPT(12)	125517654722578631	0 2 36 38 78 80 120 122 168 170 270 272	69160898404
SPT(14)	125517679826960999	0 2 14 30 50 68 90 92 114 132 152 168 180 182	94265280772