Prime p₀= 253165009092290237 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 12 30 12 6 32 12 76 12 32 6 12 30 12 (?)
a_n: 0 12 42 54 60 92 104 180 192 224 230 242 272 284
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: 284
Found by: desktop64
db: batch=69, k=14, 12 30 12 6 32 12 76

SPT(14)	253164941301747281	0 50 56 60 92 108 122 126 140 156 188 192 198 248	-67790542956
SPT(14)	253164949344019441	0 42 46 66 70 100 156 166 222 252 256 276 280 322	-59748270796
SPT(14)	253164953516668927	0 4 42 54 82 84 96 130 142 144 172 184 222 226	-55575621310
SPT(14)	253164976659286123	0 4 6 54 60 84 94 120 130 154 160 208 210 214	-32433004114
SPT(14)	253164997358387899	0 30 42 58 78 82 114 148 180 184 204 220 232 262	-11733902338
SPT(14)	253165005377009963	0 30 48 80 90 98 108 146 156 164 174 206 224 254	-3715280274
SPT(14)	253165019573865481	0 10 70 106 108 112 162 166 216 220 222 258 318 328	10481575244
TPT(12)	253165021630123037	0 2 12 14 30 32 54 56 162 164 204 206	12537832800
TPT(12)	253165028626409969	0 2 18 20 60 62 168 170 180 182 240 242	19534119732
SPT(14)	253165038616011827	0 12 54 74 104 140 152 174 186 222 252 272 314 326	29523721590
SPT(16)	253165039935685411	0 18 78 88 112 130 150 162 178 190 210 228 252 262 322 340	30843395174