Prime p₀= 431373293677295779 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 18 24 46 6 14 22 2 22 14 6 46 24 18 (?)
a_n: 0 18 42 88 94 108 130 132 154 168 174 220 244 262
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: 262
Found by: Vit Kliber
db: batch=70, k=14, 18 24 46 6 14 22 2

SPT(14)	431373236964296201	0 26 78 168 180 210 240 248 278 308 320 410 462 488	-56712999578
SPT(14)	431373253193009609	0 20 98 114 140 150 164 174 188 198 224 240 318 338	-40484286170
TPT(12)	431373257938955807	0 2 24 26 60 62 102 104 114 116 180 182	-35738339972
SPT(14)	431373270140670131	0 50 92 96 120 126 128 150 152 158 182 186 228 278	-23536625648
SPT(14)	431373281131661339	0 8 18 32 50 80 84 98 102 132 150 164 174 182	-12545634440
SPT(14)	431373292949563849	0 40 84 112 202 234 240 244 250 282 372 400 444 484	-727731930
STPT(10)	431373304631306897	0 2 30 32 72 74 114 116 144 146	10954011118
SPT(14)	431373311612907889	0 24 30 52 60 64 70 102 108 112 120 142 148 172	17935612110
SPT(14)	431373327334870363	0 10 16 36 48 60 66 70 76 88 100 120 126 136	33657574584
SPT(14)	431373340571294081	0 8 20 30 80 140 156 182 198 258 308 318 330 338	46893998302
SPT(14)	431373402348430627	0 12 72 112 144 180 196 210 226 262 294 334 394 406	108671134848