Columbia HeightsRestaurants Judging Restaurants – Lime Fresh Mexican Grill by Prince Of Petworth November 5, 2012 at 12:00 pm 37 Comments 3100 14th Street, NW Lime Fresh Mexican Grill opened in Aug. in Columbia Heights’ DC USA. You can see their menu here. Anyone try them out yet? How do they compare to Chipotle? In mid-2013 Lime Fresh will also be coming to Penn Quarter/Chinatown.