If I hear that scale, I hear the Abb as the perfect fifth G, and the Gb as a blue note. Since this scale is none of the commonly used scales, I think it is best described as "blues scale with an added b2". If you hear it differently, it may help to add the melody to your question to clarify the essence of that scale.
Judging from the chord progression in your comment, the melody is probably in Bb minor. The melody doesn't use the 7th scale degree, and it uses both the b6 and the natural 6th. The latter is common for pieces in minor; all combinations of 6th and 7th scale degrees are possible (see also this question and its answers). So your melody doesn't use a single scale, but it is a minor melody and it uses notes from the natural minor as well as from the melodic minor scales.