Welcome to the Investing News Network's weekly round-up of the top-performing mining stocks on the ASX.This week's top five gainers includes companies focused on gold, rare earths, copper and more.Read on to discover this week's top gaining Australian mining stocks on the ASX and what drove their share prices.Market and commodities price round-upThe S&P/ASX 200 (INDEXASX:XJO) opened at 8,686.2 on Monday (September 28) and closed at 8,614.4 on Th…