bud-lon-eze-lim-scl-ipc-scl-akl-syd-drw-
per-syd-sin-hkg-pek-hkg-nrt-lon-hel-bud
You either have to skip Rio or just buy a round trip ticket from Buenos Aires. Runs about 300 euro. There might be a way of doing all LIM, IPC, RIO, EZE that I missed, but I doubt it.