Who holds the record for most consecutive HR by a team and in what year?

Answer 1

The Cleveland Indians hit home runs in four consecutive at bats off of Detroit Tiger pitcher Paul Foytack in 1963. The batters that hit the home runs were Woodie Held, Pedro Ramos (a pitcher), Tito Francona (father of current Red Sox manager Terry Francona), and Larry Brown.

The Boston Red Sox hit four consecutive home runs off of Chase Wright of the New York Yankees on April 22, 2007. The home runs were hit by Manny Ramirez, J.D. Drew, Mike Lowell, and Jason Varitek.