Prime p₀= 131499182037356317 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 34 18 8 24 10 50 16 50 10 24 8 18 34 (?)
a_n: 0 34 52 60 84 94 144 160 210 220 244 252 270 304
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: 304
Found by: [SG]ATA-Rolf
db: batch=67, k=14, 34 18 8 24 10 50 16

SPT(14)	131499120143973299	0 2 72 78 90 102 144 158 200 212 224 230 300 302	-61893383018
SPT(14)	131499158857143929	0 8 78 90 92 140 158 192 210 258 260 272 342 350	-23180212388
TPT(12)	131499159952817297	0 2 84 86 102 104 114 116 264 266 312 314	-22084539020
SPT(14)	131499163403267369	0 12 24 50 110 120 132 140 152 162 222 248 260 272	-18634088948
TPT(12)	131499176426455889	0 2 18 20 42 44 60 62 78 80 120 122	-5610900428
SPT(14)	131499176515006439	0 14 24 74 90 122 128 144 150 182 198 248 258 272	-5522349878
SPT(14)	131499203581029281	0 8 12 48 50 72 90 140 158 180 182 218 222 230	21543672964
SPT(14)	131499211075636267	0 12 22 36 40 42 76 120 154 156 160 174 184 196	29038279950
SPT(14)	131499232955047799	0 24 62 92 122 158 168 374 384 420 450 480 518 542	50917691482
SPT(14)	131499236777483983	0 24 58 64 94 106 130 174 198 210 240 246 280 304	54740127666
SPT(14)	131499244173171071	0 60 98 156 158 176 240 248 312 330 332 390 428 488	62135814754