In this task you will be given a list of integers. You should find the minimum absolute difference between 2 integers in the list. The absolute difference is the absolute value of one integer subtracted by another. The output should be a single integer which is the smallest possible absolute distance.

Example Input: [-35, -49, -42, -24, -93, -87, 57]
Example Output: 6

Example Input: [-5, -44, 81, -31, 87, 45]
Example Output: 6

Example Input: [-58, -31, 82, 23]
Example Output:
27