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: [95, 81, -68, 11, 25]
Example Output: 14

Example Input: [-40, 14, 27, -73, 88]
Example Output: 13

Example Input: [-89, -40, -43, -65, -53, -5, 63]
Example Output:
3