The town of Carluke is situated in the center of the Scottish countryside in South Lanarkshire , Scotland , 5.4 miles North-West of Lanark and 5 miles South-East of Wishaw . The town of Carluke ( Gaelic : Cathair MoLuaig ) lies in the heart of the Lanarkshire countryside in South Lanarkshire , Scotland , 5.4 miles northwest of Lanark and 4 miles southeast of Wishaw .