Prime p₀= 396356514229919263 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 48 40 30 6 6 8 22 8 6 6 30 40 48 (?)
a_n: 0 48 88 118 124 130 138 160 168 174 180 210 250 298
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: 298
Found by: Dr Who Fan
db: batch=70, k=14, 48 40 30 6 6 8 22

TPT(12)	396356443766823569	0 2 72 74 150 152 210 212 240 242 282 284	-70463095694
SPT(14)	396356447498211169	0 28 102 114 118 132 138 274 280 294 298 310 384 412	-66731708094
SPT(14)	396356473031290319	0 20 62 92 104 120 140 162 182 198 210 240 282 302	-41198628944
TPT(12)	396356475356354789	0 2 78 80 90 92 108 110 132 134 180 182	-38873564474
SPT(14)	396356506031504017	0 52 60 82 96 124 156 250 282 310 324 346 354 406	-8198415246
TPT(12)	396356510408838401	0 2 6 8 78 80 90 92 168 170 240 242	-3821080862
SPT(14)	396356573589797959	0 10 22 34 40 42 48 124 130 132 138 150 162 172	59359878696
SPT(14)	396356608953060377	0 32 44 66 102 110 144 152 186 194 230 252 264 296	94723141114
TPT(12)	396356614070757971	0 2 36 38 120 122 138 140 156 158 180 182	99840838708
STPT(10)	396356656123593461	0 2 6 8 18 20 30 32 36 38	141893674198
TPT(12)	396356673214011437	0 2 12 14 54 56 72 74 90 92 132 134	158984092174