Prime p₀= 567508787865101689 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 18 4 18 44 18 36 16 36 18 44 18 4 18 (?)
a_n: 0 18 22 40 84 102 138 154 190 208 252 270 274 292
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: 292
Found by: marsinph
db: batch=71, k=14, 18 4 18 44 18 36 16

SPT(16)	567508680337941829	0 34 64 70 78 102 112 172 270 330 340 364 372 378 408 442	-107527159860
SPT(14)	567508704406652251	0 28 46 88 90 96 148 228 280 286 288 330 348 376	-83458449438
SPT(14)	567508727401128613	0 36 46 64 66 106 130 150 174 214 216 234 244 280	-60463973076
SPT(14)	567508739753286413	0 8 14 18 38 54 68 90 104 120 140 144 150 158	-48111815276
SPT(14)	567508747758312131	0 2 6 18 72 140 162 266 288 356 410 422 426 428	-40106789558
SPT(14)	567508782801915293	0 6 26 36 48 54 84 140 170 176 188 198 218 224	-5063186396
SPT(14)	567508795030963183	0 6 10 24 76 88 118 126 156 168 220 234 238 244	7165861494
SPT(14)	567508802082717787	0 4 12 22 40 90 120 136 166 216 234 244 252 256	14217616098
SPT(20)	567508850108712371	0 12 26 30 60 72 90 110 122 150 188 216 228 248 266 278 308 312 326 338	62243610682
TPT(12)	567508864951008317	0 2 30 32 72 74 120 122 192 194 210 212	77085906628
TPT(12)	567508868780771387	0 2 30 32 42 44 84 86 222 224 252 254	80915669698