** Shares of copper miners rise, tracking higher prices of the red metal MET/L** Benchmark copper CMCU3 on the London Metal Exchange up 0.4% at $11,235/metric ton, after an earlier all-time peak of $11,294.5** Copper prices climb as the market focuses on plans by smelters in top producer China to cut output next year while a softer dollar reinforces positive sentiment, traders said** Global mining giants Rio Tinto RIO.N and BHP Group BHP.N rise marginally ** Southern Copper SCCO.N up ~1% and Freeport-McMoRan FCX.N up marginally ** Canada's Ero Copper ERO.TO climbs 1.3% and Teck Resources TECKb.TO rises 3%

(Reporting by Varun Sahay in Bengaluru)

((Varun.sahay@thomsonreuters.com;))