Prime p₀= 2679645412345304257 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 30 24 42 18 42 24 24 42 18 42 24 30 (?)
a_n: 0 30 54 96 114 156 180 204 246 264 306 330 360
All 13 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 360
Found by: [SG-2W]Kurzer
db: batch=82, k=13, 30 24 42 18 42 24

SPT(16)	2679643199749893917	0 12 30 36 66 96 122 182 264 324 350 380 410 416 434 446	-2212595410340
STPT(10)	2679644662346887559	0 2 42 44 60 62 78 80 120 122	-749998416698
STPT(10)	2679644847130424321	0 2 30 32 78 80 126 128 156 158	-565214879936
TPT(14)	2679644929592342267	0 2 12 14 150 152 180 182 384 386 402 404 420 422	-482752961990
STPT(10)	2679645155868197849	0 2 12 14 90 92 168 170 180 182	-256477106408
SPT(16)	2679645167054285197	0 22 34 42 60 102 174 192 214 232 304 346 364 372 384 406	-245291019060
SPT(16)	2679645728701475939	0 38 54 60 62 80 98 104 108 114 132 150 152 158 174 212	316356171682
SPT(16)	2679646931540333387	0 20 24 42 150 210 224 230 234 240 254 314 422 440 444 464	1519195029130
SPT(16)	2679647031831062593	0 46 70 84 88 100 108 114 130 136 144 156 160 174 198 244	1619485758336
STPT(10)	2679647170491180467	0 2 30 32 42 44 54 56 84 86	1758145876210
SPT(16)	2679647296779796813	0 10 16 18 30 40 66 78 88 100 126 136 148 150 156 166	1884434492556