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: [-58, 63, -43, -75, -84, -4, -27]
Example Output: 9

Example Input: [98, 72, 88, -46, -66]
Example Output: 10

Example Input: [-15, -31, 89, -7]
Example Output:
8