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: [18, 25, -87, -10, 37, 76, 7]
Example Output: 7

Example Input: [86, 80, -37, -11, 35, 83, -16, 11]
Example Output: 3

Example Input: [-27, -75, -41, 30]
Example Output:
14