Prime p₀= 27647462820287243 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 8 12 10 8 4 38 4 8 10 12 8 6 (?)
a_n: 0 6 14 26 36 44 48 86 90 98 108 120 128 134
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: 134
Found by: [B@P] Daniel
db: batch=65, k=14, 6 8 12 10 8 4 38

SPT(14)	27647428092234061	0 12 40 42 52 82 112 198 228 258 268 270 298 310	-34728053182
SPT(14)	27647428943061751	0 6 18 42 46 48 82 96 130 132 136 160 172 178	-33877225492
SPT(14)	27647435208041617	0 22 30 40 42 82 90 106 114 154 156 166 174 196	-27612245626
SPT(14)	27647447290822511	0 8 18 20 42 60 62 96 98 116 138 140 150 158	-15529464732
SPT(14)	27647449889434057	0 16 34 64 96 106 114 166 174 184 216 246 264 280	-12930853186
STPT(10)	27647460986218979	0 2 42 44 90 92 138 140 180 182	-1834068264
SPT(14)	27647482359898111	0 6 22 40 102 120 130 162 172 190 252 270 286 292	19539610868
SPT(14)	27647483462538509	0 20 38 84 98 104 120 152 168 174 188 234 252 272	20642251266
SPT(14)	27647487571380401	0 8 72 86 102 140 158 240 258 296 312 326 390 398	24751093158
SPT(14)	27647487944633743	0 4 30 60 90 96 106 138 148 154 184 214 240 244	25124346500
SPT(14)	27647511029908171	0 22 30 72 76 100 106 132 138 162 166 208 216 238	48209620928