It depends on how you move this tiles - with setrelatilelocation or setworldlocation.
In very simple examo)e, you should use 2 relative or world locations and interpolate between them. But maybe you use AddLocalOffset, and this causes them moving in wrong direction.
Anyway, create an actor which contains tiles, and attach tiles to some scene component in it. You can rotate them in any direction, but move them in actor’s relative location.