Prime p₀= 6131246818421237 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 24 12 14 6 48 18 22 18 48 6 14 12 24 (?)
a_n: 0 24 36 50 56 104 122 144 162 210 216 230 242 266
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: 266
Found by: paulteo
db: batch=62, k=14, 24 12 14 6 48 18 22

TPT(12)	6131217515207177	0 2 30 32 150 152 162 164 222 224 252 254	-29303214060
SPT(14)	6131224232714887	0 36 66 102 106 124 126 130 132 150 154 190 220 256	-22585706350
TPT(12)	6131230792301159	0 2 30 32 138 140 180 182 198 200 228 230	-16026120078
SPT(14)	6131240044249219	0 34 118 130 160 172 198 214 240 252 282 294 378 412	-6774172018
SPT(14)	6131240957436587	0 14 44 56 66 170 174 182 186 290 300 312 342 356	-5860984650
TPT(12)	6131242637036969	0 2 90 92 138 140 180 182 210 212 258 260	-4181384268
SPT(16)	6131252901147403	0 28 54 60 66 126 144 150 214 220 238 298 304 310 336 364	6082726166
SPT(14)	6131257553758763	0 6 20 26 30 44 84 116 156 170 174 180 194 200	10735337526
TPT(12)	6131258456035001	0 2 78 80 90 92 156 158 210 212 246 248	11637613764
SPT(14)	6131266797665209	0 4 18 40 70 84 100 102 118 132 162 184 198 202	19979243972
SPT(16)	6131268553093169	0 24 44 54 68 72 132 134 168 170 230 234 248 258 278 302	21734671932