Prime p₀= 1264413735351443689 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 24 32 24 4 6 8 58 8 6 4 24 32 24 4 (?)
a_n: 0 4 28 60 84 88 94 102 160 168 174 178 202 234 258 262
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 262
Found by: Megacruncher
db: batch=77, k=16, 4 24 32 24 4 6 8 58

SPT(16)	1264412703494724323	0 24 44 78 116 126 134 156 248 270 278 288 326 360 380 404	-1031856719366
SPT(16)	1264412903263715669	0 18 62 90 92 158 162 168 224 230 234 300 302 330 374 392	-832087728020
STPT(10)	1264413022627999859	0 2 18 20 30 32 42 44 60 62	-712723443830
STPT(10)	1264413166472175689	0 2 12 14 30 32 48 50 60 62	-568879268000
STPT(10)	1264413282547862969	0 2 18 20 30 32 42 44 60 62	-452803580720
SPT(16)	1264413538266236903	0 18 30 44 84 114 128 150 164 186 200 230 270 284 296 314	-197085206786
SPT(16)	1264414455925701331	0 28 72 82 88 96 102 132 136 166 172 180 186 196 240 268	720574257642
SPT(16)	1264414640272112519	0 42 54 78 180 192 218 224 348 354 380 392 494 518 530 572	904920668830
SPT(16)	1264414702391225683	0 60 64 154 168 216 226 238 246 258 268 316 330 420 424 484	967039781994
SPT(16)	1264414797872264461	0 12 16 40 42 90 142 156 166 180 232 280 282 306 310 322	1062520820772
STPT(10)	1264414947194186267	0 2 30 32 42 44 54 56 84 86	1211842742578