AS far as I can see the initial time has to mirror itself either side of the colon before the reflected time can a mirror time.

The only numbers that mirror other numbers or themselves are

0
1
2
5
8

so

00:00
01:10
02:20
10:01
12:51
15:21
20:02
22:22
25:52

Note 52:25 is an invalid time as is anything using 8.

That gives me nine times.

Have I missed any?