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: [34, -51, -48, -27]
Example Output: 3

Example Input: [55, -68, -14, 13, 19, 35]
Example Output: 6

Example Input: [-42, 5, -67, 13, 35, -22, 28]
Example Output:
7