According to ELIAS

Haley fans six in first save

Haley

Justin Haley recorded six of his 10 outs via strikeouts, earning his first major-league save in the Twins’ 11–5 win at Detroit. The last pitcher to collect at least six strikeouts in any save was the Royals’ Danny Duffy, also at Detroit on Sep. 20, 2015 (6 SO in 4 IP.) That also happened to be Duffy’s first (and to date, only) save in the majors. Haley is the 21st reliever to strike out six-or-more batters in his first big-league save since the statistic became official in 1969. Only one of the previous 20 went on to save as many as 90 games. That was Tom “Flash” Gordon, who fanned six in two-and-one-third innings for Kansas City at Texas in 1989. Gordon finished his career with 158 saves, although he wouldn’t earn more than one in a season until 1997.

Bill Campbell is the Twins all-time leader in this category getting 15 saves between 1973-1976 by pitching 3 or more innings in a game for the save.