The most runs scored by a single team in a Major League Baseball game is 36, set by the Chicago Colts (now the Chicago Cubs) against the Louisville Colonels (which joined the National League in 1892) on June 29, 1897. The modern record is 30 by the Texas Rangers in a game against the Baltimore Orioles on August 22, 2007. The Rangers won that game 30-3. The Phillies are in the midst of scoring the record having 16 runs in just 4 innings of batting.