** U.S.-listed shares of copper miners rise premarket, tracking red metal prices MET/L

** Benchmark three-month copper on London Metal Exchange CMCU3 up 1.6% at $13,205 per metric ton

** Copper prices edge toward record highs on optimism over strong demand from China and AI-driven data centers

** Prices hit a record $13,387.50 last week, up more than 50% since the start of 2025

** Global mining giants Rio Tinto RIO.N, BHP Group BHP.N up 1% each

** Southern Copper SCCO.N gains 3.2%; Freeport-McMoRan FCX.N up 2.6%

** Canadian miners: Hudbay Minerals HBM.N up 2.7%; Teck Resources TECK.N up 3%

(Reporting by Sumit Saha in Bengaluru)

((Sumit.Saha@thomsonreuters.com;))