gINT for ArcGIS easting/northing

I am trying to display gINT points in ArcGIS and am unsure of the units and datum I should use when populating our easting and northing columns.

I figured that I would use UTM-- and the points display o.k. in arcmap in terms of location relative to one another but are well offset from my actual study area, no doubt due to some UTM zone correction or something.  Should I be doing this differently?

Any tips on this?