Greg enjoyed a 16-year major league career, from 1975 to 1990, and was a member of the 1982 National League All-Star Team. His nickname, "Moon Man," stemmed from various escapades such as the hijacking of the team bus and the flooding of a minor league ballpark so he could leave Amarillo one day early at the end of the season.
Minton went three full seasons (269 innings) without allowing a home run until Rusty Staub took him deep on May 9, 1982. This still is the longest such streak in the post-1920 live-ball era. A crippling injury in 1979 caused Minton to alter his delivery. Instead of using his then-normal high leg kick, Minton shortened his stride to take pressure off his knee. The new delivery gave Minton a 92-mph sinker that batters were unable to drive.
After his career as a player, Minton was a pitching coach in the California Angels' organization, and managed the Class A Lubbock Crickets for two years. He was named to the Giants' "Wall of Fame" in 2008. He now resides in Scottsdale, Arizona, and teaches the fine art of pitching to young players.