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: [68, 7, -96, 1, 6]
Example Output: 1

Example Input: [36, 46, -41, -78, 80, 57, 0, -35]
Example Output: 6

Example Input: [-77, 56, -27, 16, -58, -40]
Example Output:
13