If I remember well: Make sure to set the grid snap always on 16. Go into vertex editing and draw a selection of vertices holding Control and Shift. Once selected you can move those. If those vertices were not on the grid from the start, youŽll keep running into problems.
So keep your work very clean, on gridsnap 16.
doesnt matter what grid its set too
just make sure snap to grid is on
if vertex isnt snapped select vertex and right click mouse it will snap to closest grid