Prime p₀= 425580888602737493 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 30 36 44 4 6 6 8 6 6 4 44 36 30 (?)
a_n: 0 30 66 110 114 120 126 134 140 146 150 194 230 260
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: 260
Found by: Cruncher Pete
db: batch=70, k=14, 30 36 44 4 6 6 8

SPT(14)	425580714418276817	0 32 86 96 114 134 144 152 162 182 200 210 264 296	-174184460676
SPT(14)	425580777952744957	0 30 76 90 96 102 112 144 154 160 166 180 226 256	-110649992536
SPT(16)	425580784317152279	0 18 54 102 144 162 200 210 212 222 260 278 320 368 404 422	-104285585214
SPT(14)	425580826742492689	0 22 42 90 112 144 160 162 178 210 232 280 300 322	-61860244804
SPT(14)	425580877081731803	0 6 50 56 60 68 78 116 126 134 138 144 188 194	-11521005690
SPT(16)	425580878942563117	0 16 34 36 54 70 124 126 154 156 210 226 244 246 264 280	-9660174376
SPT(14)	425580890383906133	0 74 114 126 128 140 144 170 174 186 188 200 240 314	1781168640
STPT(10)	425580894258725729	0 2 18 20 30 32 42 44 60 62	5655988236
SPT(14)	425580897021465041	0 48 90 126 156 168 212 336 380 392 422 458 500 548	8418727548
SPT(14)	425580899752748759	0 8 24 38 62 74 78 104 108 120 144 158 174 182	11150011266
STPT(10)	425580908343919577	0 2 30 32 42 44 54 56 84 86	19741182084