Prime p₀= 27628791473852017 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 12 24 6 18 6 6 22 6 6 18 6 24 12 (?)
a_n: 0 12 36 42 60 66 72 94 100 106 124 130 154 166
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: 166
Found by: UBT - Timbo
db: batch=65, k=14, 12 24 6 18 6 6 22

SPT(14)	27628763093242387	0 16 24 70 76 90 136 234 280 294 300 346 354 370	-28380609630
SPT(14)	27628767630146261	0 8 36 42 78 80 102 116 138 140 176 182 210 218	-23843705756
SPT(14)	27628775403025123	0 6 18 60 84 96 108 196 208 220 244 286 298 304	-16070826894
SPT(14)	27628785657977671	0 12 70 72 76 90 126 172 208 222 226 228 286 298	-5815874346
TPT(12)	27628788033503051	0 2 66 68 96 98 150 152 258 260 300 302	-3440348966
SPT(14)	27628790666424289	0 34 40 42 70 94 112 150 168 192 220 222 228 262	-807427728
SPT(14)	27628808808271661	0 6 26 42 50 60 72 116 128 138 146 162 182 188	17334419644
SPT(14)	27628808966724107	0 20 24 32 60 74 102 104 132 146 174 182 186 206	17492872090
SPT(14)	27628812196227647	0 26 32 54 72 84 122 174 212 224 242 264 270 296	20722375630
TPT(12)	27628820668758269	0 2 30 32 42 44 78 80 132 134 162 164	29194906252
SPT(14)	27628827234685801	0 12 28 46 66 76 88 90 102 112 132 150 166 178	35760833784