Here is your example modified with my parameters. Tilemap at right, sprites at left, all with sampling: point
To get tilemap to work correctly (the sampling) your tilemap should be in the power of 2 dimensions. I remember Ashley mentioned this somewhere. You are using [24x24] so thats why its like that.
Use 2^1=[2x2], 2^2=[4x4], 2^3=[8x8], 2^4=[16x16], 2^5[32x32]... and so on.
Sorry I didn't test, but I'm sure thats the problem, because it was discussed a few times previously.