Prime p₀= 10576456678587661 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 58 12 38 58 2 12 16 12 2 58 38 12 58 (?)
a_n: 0 58 70 108 166 168 180 196 208 210 268 306 318 376
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: 376
Found by: Egon olsen
db: batch=62, k=14, 58 12 38 58 2 12 16

SPT(14)	10576401205988731	0 16 22 36 40 42 70 72 100 102 106 120 126 142	-55472598930
SPT(14)	10576435967560013	0 14 18 20 56 90 108 116 134 168 204 206 210 224	-20711027648
TPT(12)	10576451397106877	0 2 42 44 144 146 162 164 300 302 324 326	-5281480784
SPT(14)	10576454698797539	0 2 24 44 80 90 102 212 224 234 270 290 312 314	-1979790122
TPT(12)	10576456567894727	0 2 12 14 30 32 42 44 54 56 72 74	-110692934
STPT(10)	10576456567894739	0 2 18 20 30 32 42 44 60 62	-110692922
SPT(14)	10576463607386431	0 42 82 108 126 130 166 222 258 262 280 306 346 388	6928798770
SPT(14)	10576482491841293	0 14 20 54 104 108 126 128 146 150 200 234 240 254	25813253632
SPT(14)	10576493546584747	0 6 40 46 52 84 90 166 172 204 210 216 250 256	36867997086
SPT(14)	10576498734421541	0 12 38 48 60 122 140 150 168 230 242 252 278 290	42055833880
SPT(14)	10576500136826971	0 18 36 76 90 130 162 196 228 268 282 322 340 358	43458239310