Search 78382 Real Estate and find real estate listings for sale and real estate for rent on HAR.com. 680 homes for sale and 9 houses for rent in 78382 Zip Code. View 689 Rockport Homes and Houses for Sale and Rent. HAR.com is the Official MLS website and mobile app for home buyers and homes sellers. See Listing Details & Photos, School & Neighborhood info and Contact Agent.