I would be led to believe that you would have something like this, in which the neighboring methylenes would be different groups, so that they would each cause a triplet shift. If they were the same it would just be a multiplet (quintet technically), and if they were diastereotopic, you would have a dddd, for a total of 8 peaks. So my guess is look for something like that in your structure (if you have one yet) and if not, it hopefully would be something like this.