Arrows and ants

All 88 ways to draw arrows on a 4x4 grid, moving from node to node. Each node must have an incoming and an outgoing arrow. Arrows must not cross each other. It is akin to placing 16 ants in a grid, each in a cell. These ants must all move to a different cell without crossing each other's paths. See: https://oeis.org/A216678 and https://projecteuler.net/problem=393.