Prime p₀= 456786925017188749 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 84 46 18 36 38 28 62 28 38 36 18 46 84 (?)
a_n: 0 84 130 148 184 222 250 312 340 378 414 432 478 562
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: 562
Found by: marsinph
db: batch=70, k=14, 84 46 18 36 38 28 62

SPT(14)	456786863782383083	0 20 26 36 50 74 96 188 210 234 248 258 264 284	-61234805666
SPT(14)	456786885809955773	0 18 114 128 144 156 164 210 218 230 246 260 356 374	-39207232976
SPT(14)	456786896522323069	0 10 22 54 70 72 84 178 190 192 208 240 252 262	-28494865680
SPT(14)	456786912556312813	0 4 10 40 54 66 76 144 154 166 180 210 216 220	-12460875936
SPT(14)	456786921315172729	0 24 30 54 58 64 78 130 144 150 154 178 184 208	-3702016020
SPT(14)	456786923437547341	0 22 28 48 60 78 88 90 100 118 130 150 156 178	-1579641408
SPT(14)	456786942693786443	0 8 14 48 78 98 138 140 180 200 230 264 270 278	17676597694
SPT(14)	456786944887656811	0 10 22 60 70 72 102 148 178 180 190 228 240 250	19870468062
SPT(14)	456786960760850939	0 8 38 60 72 92 140 150 198 218 230 252 282 290	35743662190
SPT(14)	456786964605978077	0 26 36 80 84 86 92 114 120 122 126 170 180 206	39588789328
SPT(14)	456786980588979331	0 12 18 132 208 210 222 238 250 252 328 442 448 460	55571790582