Using the highest shutter speed yo can sync at is a great start, but you still also need to select a suitable aperture and ISO, and that really does depend on how bright ambient is at your location, Here's a little series of shots starting at 1/3" and speeding up to 1/80". You can see how the ambient light disappears as the shutter speed is raised.
@ 1/3, f/6.3, 200 ISO....
@1/5, f/6.3, 200 ISO....
@ 1/10, f.6.3, 200 ISO....
@ 1/20, f/6.3, 200 ISO....
@ 1/40, f/6.3, 200 ISO....
@1/80, f/6.3, 200 ISO....