Prime p₀= 585651576113283283 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 18 10 2 18 10 60 38 60 10 18 2 10 18 (?)
a_n: 0 18 28 30 48 58 118 156 216 226 244 246 256 274
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: 274
Found by: scrap
db: batch=71, k=14, 18 10 2 18 10 60 38

TPT(14)	585651512321931089	0 2 72 74 150 152 210 212 222 224 240 242 270 272	-63791352194
SPT(14)	585651521017486757	0 42 44 60 120 122 144 302 324 326 386 402 404 446	-55095796526
SPT(14)	585651527389812361	0 22 102 106 126 130 132 256 258 262 282 286 366 388	-48723470922
SPT(14)	585651530741250517	0 36 42 46 60 82 96 136 150 172 186 190 196 232	-45372032766
TPT(12)	585651559458037139	0 2 60 62 90 92 222 224 240 242 300 302	-16655246144
SPT(14)	585651575870410481	0 20 26 42 48 56 78 80 102 110 116 132 138 158	-242872802
TPT(12)	585651578462487149	0 2 18 20 30 32 42 44 60 62 72 74	2349203866
STPT(10)	585651578462487149	0 2 18 20 30 32 42 44 60 62	2349203866
SPT(14)	585651581644947151	0 70 78 88 120 148 166 210 228 256 288 298 306 376	5531663868
SPT(14)	585651604672743613	0 64 70 90 118 120 168 196 244 246 274 294 300 364	28559460330
SPT(14)	585651631126149541	0 30 52 72 142 160 178 192 210 228 298 318 340 370	55012866258