fwiw, if I take 2 and 5 out my program, I get

00:00 - 00:00
01:10 - 01:10
10:01 - 10:01
11:11 - 11:11
4

for the real solution and

00:00 - 00:00
00:01 - 10:00
00:10 - 01:00
00:11 - 11:00
01:00 - 00:10
01:01 - 10:10
01:10 - 01:10
01:11 - 11:10
10:00 - 00:01
10:01 - 10:01
10:10 - 01:01
10:11 - 11:01
11:00 - 00:11
11:01 - 10:11
11:10 - 01:11
11:11 - 11:11
16

for the other attempt.