Here is an example on how to add your coordinate system using python:arcpy.CreateFeatureclass_management(r"C:\temp\python\test.gdb", "parcels", "POLYGON", "", "", "",
"Coordinate Systems\Projected Coordinate Systems\UTM\NAD 1983\NAD 1983 UTM Zone 16N.prj")
A trick I do is find the coordinate system in ArcCatalog under 'Coordinate Systems', select it and then copy path from the 'Location' toolbar.