I am having similar issues in Tonberry, game will disconnect randomly.

When I restart launcher, the launcher is black and cannot load anything, with "a system error has occured - some random numbers". I can't even connect to the lodestone website.

This fixes itself after a while, with me being able to connect to the lodestone AND the game at the same time. I am not sure if it is connection from our ISP to the game servers but this is very shady.