Prime p₀= 456495939776967791 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 30 12 14 30 70 6 134 6 70 30 14 12 30 (?)
a_n: 0 30 42 56 86 156 162 296 302 372 402 416 428 458
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: 458
Found by: Cruncher Pete
db: batch=70, k=14, 30 12 14 30 70 6 134

SPT(14)	456495871080096949	0 22 34 40 52 70 90 112 132 150 162 168 180 202	-68696870842
SPT(14)	456495883897150729	0 48 60 64 78 112 150 172 210 244 258 262 274 322	-55879817062
SPT(14)	456495892889636651	0 2 8 30 50 90 98 120 128 168 188 210 216 218	-46887331140
TPT(12)	456495917887406699	0 2 12 14 42 44 108 110 120 122 168 170	-21889561092
SPT(14)	456495919063603213	0 54 58 78 84 88 106 138 156 160 166 186 190 244	-20713364578
SPT(14)	456495924411748973	0 20 30 96 114 140 156 164 180 206 224 290 300 320	-15365218818
SPT(14)	456495950068275319	0 12 24 42 70 142 144 220 222 294 322 340 352 364	10291307528
TPT(12)	456495996109356869	0 2 72 74 162 164 198 200 222 224 402 404	56332389078
SPT(16)	456496010758399459	0 18 42 102 178 180 210 220 240 250 280 282 358 418 442 460	70981431668
SPT(14)	456496053442264669	0 58 108 120 124 142 144 148 150 168 172 184 234 292	113665296878
SPT(16)	456496085385199819	0 18 22 40 112 130 138 144 208 214 222 240 312 330 334 352	145608232028