A Mumford curve of genus
g
∉
{
0
,
1
,
5
,
6
,
7
,
8
}
g \notin \{0,1,5,6,7,8 \}
over a non-Archimedean valued field of characteristic
p
>
0
p>0
has at most
2
g
(
g
+
1
)
2
2 \sqrt {g} (\sqrt {g}+1)^2
automorphisms. In this note, the unique family of curves that attains this bound, and its automorphism group, are determined.