Prime p₀= 399488105996188063 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 24 6 58 18 42 8 22 8 42 18 58 6 24 (?)
a_n: 0 24 30 88 106 148 156 178 186 228 246 304 310 334
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: 334
Found by: Cruncher Pete
db: batch=70, k=14, 24 6 58 18 42 8 22

SPT(14)	399488038400235931	0 46 82 132 150 168 180 208 220 238 256 306 342 388	-67595952132
SPT(14)	399488063354639377	0 10 40 82 94 112 150 154 192 210 222 264 294 304	-42641548686
SPT(14)	399488065469630077	0 24 70 72 96 114 120 196 202 220 244 246 292 316	-40526557986
TPT(12)	399488090060731031	0 2 48 50 90 92 96 98 138 140 216 218	-15935457032
SPT(14)	399488091009873301	0 36 46 186 252 256 270 388 402 406 472 612 622 658	-14986314762
SPT(16)	399488100312094159	0 34 88 142 144 160 190 202 270 282 312 328 330 384 438 472	-5684093904
SPT(14)	399488111769421921	0 10 12 52 70 72 96 166 190 192 210 250 252 262	5773233858
STPT(10)	399488142494388767	0 2 30 32 42 44 54 56 84 86	36498200704
SPT(14)	399488153870710147	0 24 40 66 144 154 196 204 246 256 334 360 376 400	47874522084
SPT(14)	399488160292028239	0 4 18 34 40 48 64 144 160 168 174 190 204 208	54295840176
SPT(14)	399488176063780259	0 32 42 68 78 134 150 212 228 284 294 320 330 362	70067592196