Has there ever been a 14–0 in the Primera Argentina?

Yes, 2 times.

The first time: June 6, 1897, Belgrano Athletic beat Palermo Athletic (Belgrano Athletic 14–0 Palermo Athletic).

The last time: May 21, 1905, Alumni beat Reformer (Alumni 14–0 Reformer), 121 years ago.

Home wins: 2. Away wins: 0.

Nearby scores

1. 15–0 Never
2. 15–1 Never
3. 14–0 2 times
4. 14–1 Never
5. 13–0 Never
6. 13–1 1 time

All games

1. May 21, 1905 Alumni 14–0 Reformer
2. June 6, 1897 Belgrano Athletic 14–0 Palermo Athletic