Like Father, Like Son

Tonight's Los Angeles Dodgers starting lineup includes 4 players whose fathers played in the Major Leagues: Dee Gordon (Tom), Tony Gwynn Jr. (Tony), Jerry Hairston Jr. (Jerry), and Scott Van Slyke (Andy). Hairston Jr.'s grandfather Sam also played in the Majors. Also on the Dodgers current roster are Iván DeJesús Jr. and Justin Sellers, whose fathers also played in the Major Leagues. So we could get up to 6 chips off the old block in a starting lineup at once. I wonder what the record is?