Index heavyweights BHP Group BHP.AX rose 1.9% and Fortescue Metals Group FMG.AX gained 2.5%. By Soumyajit Saha April 29 (Reuters) - Australian shares rose on Wednesday, tracking Asian peers, after coronavirus-induced restrictions slowly eased around the world and as strong domestic inflation data supported sentiment. A rise in Australia's annual inflation helped soothe some nerves surrounding the underlying economic health of the economy, said Nick Twiddle, general manager at IC Markets.