** Shares of copper miners rise, tracking higher prices of the red metal

** Benchmark copper CMCU3 on the London Metal Exchange up 0.5% at $11,837 a metric ton

** Copper prices rise to move within $25 of the record high after another bullish forecast by Goldman Sachs highlights mine supply constraints MET/

** The metal is up more than 35% in 2025

** Global mining giants Rio Tinto RIO.N and BHP Group BHP.N both up marginally

** Southern Copper SCCO.N up 2.2% and Freeport-McMoRan < FCX.N> rises ~3%

** Canada's Hudbay Minerals HBM.TO gains 3% and Ero Copper ERO.TO edges up 4.6%

(Reporting by Dharna Bafna in Bengaluru)

((Dharna.bafna@thomsonreuters.com))