Prime p₀= 131381111785534397 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 14 12 70 26 34 26 22 26 34 26 70 12 14 (?)
a_n: 0 14 26 96 122 156 182 204 230 264 290 360 372 386
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: 386
Found by: [SG]ATA-Rolf
db: batch=67, k=14, 14 12 70 26 34 26 22

SPT(14)	131381020936616501	0 12 18 92 98 108 110 150 152 162 168 242 248 260	-90848917896
TPT(12)	131381052596964809	0 2 42 44 60 62 72 74 78 80 168 170	-59188569588
SPT(14)	131381052660976039	0 28 34 42 54 82 108 154 180 208 220 228 234 262	-59124558358
SPT(14)	131381071252374809	0 8 12 78 90 92 132 188 228 230 242 308 312 320	-40533159588
SPT(14)	131381101318016587	0 4 24 64 66 100 112 144 156 190 192 232 252 256	-10467517810
SPT(14)	131381111715468773	0 6 60 90 104 140 146 168 174 210 224 254 308 314	-70065624
SPT(14)	131381127519564421	0 10 28 42 58 78 90 130 142 162 178 192 210 220	15734030024
TPT(12)	131381142707872691	0 2 30 32 138 140 168 170 216 218 396 398	30922338294
TPT(12)	131381146364233487	0 2 54 56 282 284 294 296 324 326 372 374	34578699090
SPT(14)	131381151370076563	0 36 46 76 96 114 120 124 130 148 168 198 208 244	39584542166
TPT(12)	131381169018589277	0 2 30 32 54 56 60 62 72 74 132 134	57233054880