Aerial view of Mt. Fuji, Tokyo Tower and modern skyscrapers in Tokyo on a sunny day. Yongyuan | E+ | Getty Images Japan stocks rose more than 4% on Thursday, with the benchmark Nikkei 225 hitting 62,000 for the first time as Asia-Pacific markets rallied despite renewed tensions in the Middle East. The broader regional advance came after President Donald Trump warned Iran would be bombed "at a much higher level" if it failed to agree to a peace deal. The Nikkei 225 advanced 4.18%, led by gains in basic materials, technology and financial stocks. Shares of index heavyweight Softbank surged more than 10%. The Topix added 1.91%. In Australia, the  S&P/ASX 200 rose 0.9%. South Korea's Kospi added 1.17% while the small-cap Kosdaq Index slid 0.4%. Trump's fresh threats came as reports suggested Washington and Tehran were nearing an agreement to end the war. The president in a  Truth Social post  said the U.S.…