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State Highway 338, or SH 338, is a numbered state highway in Morris County, Texas. SH 338 is 6.722 miles long, and effectively a spur of U.S. Route 259, helping to connect the towns of Naples and Daingerfield. It begins at State Highway 77 immediately east of SH 77's bridge over U.S. Route 67 near the east edge of Naples. From here, SH 338 proceeds southward, meeting Farm to Market Road 161 at the southern city limits of Naples. SH 338 ends in the unincorporated community of Rocky Branch, Texas with a merge into US 259, en route to Daingerfield.