Prime p₀= 567508668994416283 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 28 8 10 48 26 4 26 4 26 48 10 8 28 (?)
a_n: 0 28 36 46 94 120 124 150 154 180 228 238 246 274
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: 274
Found by: schoussi
db: batch=71, k=14, 28 8 10 48 26 4 26

SPT(16)	567508565174832059	0 8 42 50 60 62 74 78 104 108 120 122 132 140 174 182	-103819584224
STPT(10)	567508577136820997	0 2 12 14 42 44 72 74 84 86	-91857595286
SPT(14)	567508597619133211	0 6 10 42 60 72 90 112 130 142 160 192 196 202	-71375283072
SPT(14)	567508605438851159	0 20 42 62 72 80 98 132 150 158 168 188 210 230	-63555565124
SPT(14)	567508641533601011	0 26 38 60 80 96 132 206 242 258 278 300 312 338	-27460815272
SPT(14)	567508643380094453	0 8 30 44 48 66 78 86 98 116 120 134 156 164	-25614321830
SPT(16)	567508680337941829	0 34 64 70 78 102 112 172 270 330 340 364 372 378 408 442	11343525546
SPT(14)	567508704406652251	0 28 46 88 90 96 148 228 280 286 288 330 348 376	35412235968
SPT(14)	567508727401128613	0 36 46 64 66 106 130 150 174 214 216 234 244 280	58406712330
SPT(14)	567508739753286413	0 8 14 18 38 54 68 90 104 120 140 144 150 158	70758870130
SPT(14)	567508747758312131	0 2 6 18 72 140 162 266 288 356 410 422 426 428	78763895848