There are only three teams in the whole NBA who’ve managed to have more than one player start every game this season:
Detroit Pistons: Andre Drummond, Kentavious Caldwell-Pope
Los Angeles Clippers: Chris Paul, DeAndre Jordan
(W.Wizards)
The last time Detroit had multiple players start every game of a season was in 2005–06, when Tayshaun Prince and Ben Wallace started all 82 games.
(Source: Elias Sports Bureau)