How to create a raster with rotated cell orientation from lattice points - ArcMap 10.

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I am trying to create a raster layer from gridded points where the cells have a rotated orientation. Each point is the center of a 1.6 km by 1.6 km cell, rotated to the left. Is there a way to do this in ArcMap? I know I do not want Rotate(data management) as the cells themselves are rotated, not the entire raster.

I attached a screenshot of the point layer I'm working with.





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