Prime p₀= 570390353244606463 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 66 24 84 36 6 30 22 30 6 36 84 24 66 (?)
a_n: 0 66 90 174 210 216 246 268 298 304 340 424 448 514
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: 514
Found by: [SG-2W]Kurzer
db: batch=71, k=14, 66 24 84 36 6 30 22

SPT(16)	570390266274807131	0 6 30 48 80 90 126 140 156 170 206 216 248 266 290 296	-86969799332
SPT(14)	570390309812806811	0 12 38 42 66 102 110 138 146 182 206 210 236 248	-43431799652
TPT(12)	570390314097767201	0 2 36 38 78 80 96 98 126 128 150 152	-39146839262
SPT(14)	570390318067916387	0 20 56 144 152 186 230 306 350 384 392 480 516 536	-35176690076
SPT(14)	570390329737432091	0 38 56 60 68 108 110 186 188 228 236 240 258 296	-23507174372
TPT(12)	570390343823640797	0 2 30 32 42 44 72 74 132 134 144 146	-9420965666
TPT(16)	570390370462396829	0 2 48 50 72 74 90 92 168 170 210 212 228 230 270 272	17217790366
SPT(14)	570390372152512753	0 6 34 58 88 108 118 186 196 216 246 270 298 304	18907906290
SPT(16)	570390382635146197	0 12 22 46 64 82 90 112 144 166 174 192 210 234 244 256	29390539734
SPT(14)	570390454056211429	0 28 72 168 172 198 210 232 244 270 274 370 414 442	100811604966
SPT(14)	570390468381226781	0 32 38 78 92 110 120 140 150 168 182 222 228 260	115136620318