How do I create an outline layer for multiple blocks of points?

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I have a series of points that mark the edges of excavation units, I would like to create a layer of an outline connecting the points. The end goal is a layer displaying a grid of the excavation units. I've tried the points-to-line feature, but the only success is creating horizontal lines using Northing and Easting as line and sorting features. At one point, I was able to use the selection and construction tools to complete the outline and have it selected, but not only could I not save that data as a layer or new shapefile, I have four separate blocks of excavation units marked and starting on another block automatically cleared the selected grid.

I'm including a photo showing the situation, the red Xs mark the corners of units, they are each a single point. [![enter image description here][1]][1]http://imgur.com/i83jTC4

I would like a layer that is a grid, demonstrated in part by the black lines drawn on the picture.



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