Puzzle 042: Long Hand and Short Hand

ナゾ０４２　長針と短針
１時１１分のように同じ数字が連続して
３つ並ぶ時刻は、２４時間のうちに
たくさんあるよね。
では、その時刻のうちで、短針から時計
まわりに長針まではかった角度が
もっとも大きいのは、何時何分だろう？
数字が３つ並んだ時刻を答えて欲しい。
ただし、０時００分は除く。

Google Translate
1:11 consecutive numbers along the same time as three one-minute, 24 hours It's just one of many. In, the time of its greatest angle of Hakatta until the minute hand clockwise from the hour hand, minute what time is it? I want answers to three times the number aligned one. However, except for 0:00.

Notes on Puzzle
You need an analog clock for this puzzle. You need to figure out what time gives the greatest angle between the long (minute) and short (hour) hands of a clock. The restriction is that three numbers must be the same and consecutive, ie 1:11 or 2:22.
Note that Japan uses 24 hour notation, so times like 13:33 are also valid.