I would suggest a large area rug with an acoustic pad underneath and spike the speakers on the rug. Otherwise any gains you get with coupling to the tiles would be destroyed by the floor reflections from the bare tile IMO.
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I'd start with what @gs5556 suggests especially as you want to deal with the floor reflections as well (you also need rugs between the speakers and your listening position)
However in addition you can also try decoupling the speakers from your floor via a Townshend podium or other spring or roller/slider based solution such as Herbies