** Shares of copper miners rise, tracking gains in prices of the red metal MET/L
** Benchmark copper CMCU3 on London Metal Exchange up 1.7% at $12,901 a metric ton, its highest since March 17
** Copper prices hit their highest in more than three weeks as investors weigh signs of improved demand in top metals consumer China against uncertainty over a fragile ceasefire in the Iran war
** U.S.-listed shares of global mining giants Rio Tinto RIO.N up 1.8% and BHP Group BHP.N rise marginally
** Miners Southern Copper SCCO.N and Freeport-McMoRan FCX.N gain 2.6% and 2.1%, respectively
** Canada's Hudbay Minerals HBM.TO jumps 3%, Ero Copper ERO.TO adds 1.7% and Teck Resources TECKb.TO up 3.5%
(Reporting by Pooja Menon in Bengaluru)
((Pooja.Menon@thomsonreuters.com;))