Prime p₀= 522957974971779289 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 34 6 20 4 14 4 8 4 14 4 20 6 34 (?)
a_n: 0 34 40 60 64 78 82 90 94 108 112 132 138 172
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: 172
Found by: [H]auntjemima
db: batch=71, k=14, 34 6 20 4 14 4 8

SPT(14)	522957926409931417	0 10 34 52 54 60 84 142 166 172 174 192 216 226	-48561847872
SPT(14)	522957929213325337	0 12 64 70 90 106 112 174 180 196 216 222 274 286	-45758453952
SPT(14)	522957936540294517	0 12 22 30 34 70 72 124 126 162 166 174 184 196	-38431484772
SPT(14)	522957940207923587	0 12 42 44 54 90 120 146 176 212 222 224 254 266	-34763855702
SPT(14)	522957945154905473	0 44 54 66 80 96 234 266 404 420 434 446 456 500	-29816873816
SPT(14)	522957969983623063	0 24 28 126 130 198 270 274 346 414 418 516 520 544	-4988156226
SPT(14)	522957984111436619	0 30 44 50 62 84 132 170 218 240 252 258 272 302	9139657330
SPT(14)	522957992013998197	0 34 70 90 94 112 114 172 174 192 196 216 252 286	17042218908
SPT(14)	522958002179201261	0 12 30 56 116 122 128 180 186 192 252 278 296 308	27207421972
SPT(14)	522958007771220433	0 24 40 60 66 70 130 150 210 214 220 240 256 280	32799441144
SPT(20)	522958008923424839	0 62 78 90 92 98 108 200 242 294 308 360 402 494 504 510 512 524 540 602	33951645550