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: [-14, 12, 87, -26]
Example Output: 12

Example Input: [-78, -21, -62, 42, 1, 92, -49, -100, 25, 35]
Example Output: 7

Example Input: [-58, 66, 24, 92, -23]
Example Output:
26