After a few hours of Googling I came across the code I should have used, and that is this:
GraphicsManager.PreferredBackBufferWidth = GraphicsAdapter.DefaultAdapter.CurrentDisplayMode.Width;
GraphicsManager.PreferredBackBufferHeight = GraphicsAdapter.DefaultAdapter.CurrentDisplayMode.Height;
GraphicsManager.IsFullScreen = true;
I also made the chunk sizes a bit bigger so now it covers the whole screen.