You need to check your Land Development Code. Based on my experience, net is the space within the property boundary. Gross may include area within the right of way calculated by extending the side boundary lines into one or both of the ROWs adjacent to the property.
In your case, the gross area is almost 5,010 SF larger than the net. This is important if your permitted building size is calculated by gross area and not net area. How the gross site area is calculated is not as important as its importance in calculating the building size which could constructed on the site. On a net area comparison, a developer would likely pay more for a site which has a larger gross area and upon which he could construct a larger building, as a result. Therefore, you may want to compare sites based on gross area.
And taking a second look at the plat, I now don't get it either, because the gross is 5,010 SF smaller than the net, not larger than the net, which is unusual based on my experience. But again, the importance regards which area is used to caculate permitted building area.