Prime p₀= 567546270454224403 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 4 20 16 30 26 40 38 40 26 30 16 20 4 (?)
a_n: 0 4 24 40 70 96 136 174 214 240 270 286 306 310
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: 310
Found by: nenym
db: batch=71, k=14, 4 20 16 30 26 40 38

SPT(14)	567546208761703001	0 6 20 48 90 96 98 108 110 116 158 186 200 206	-61692521402
TPT(12)	567546218969238359	0 2 12 14 30 32 42 44 48 50 90 92	-51484986044
SPT(14)	567546236090300977	0 4 6 46 52 72 82 144 154 174 180 220 222 226	-34363923426
SPT(14)	567546242734839541	0 60 82 90 96 112 130 132 150 166 172 180 202 262	-27719384862
SPT(14)	567546254482451527	0 6 12 24 64 100 112 204 216 252 292 304 310 316	-15971772876
SPT(14)	567546256063630229	0 18 72 80 92 102 128 192 218 228 240 248 302 320	-14390594174
SPT(14)	567546291675192199	0 24 40 52 54 82 90 94 102 130 132 144 160 184	21220967796
SPT(14)	567546300732388429	0 4 34 78 90 118 144 148 174 202 214 258 288 292	30278164026
TPT(12)	567546307402503887	0 2 162 164 330 332 342 344 360 362 390 392	36948279484
SPT(16)	567546314141167331	0 20 36 48 98 200 210 222 266 278 288 390 440 452 468 488	43686942928
SPT(14)	567546329152990037	0 26 90 102 140 186 212 240 266 312 350 362 426 452	58698765634