If you count Aaron Hernandez (mestizo) as White, then if I recall correctly, the 2011 New England Patriots offense (at least for one game) either started 11 whites or engineered offensive drives in which it only featured white players:
QB - Tom Brady
RB - Danny Woodhead
WR- Wes Welker
WR - Julian Edelman
TE - Rob Gronkowski
TE - Aaron Hernandez
LT - Matt Light
LG - Logan Mankins
C - Ryan Wendell
RG - Dan Connolly
RT - Sebastian Vollmer
If you don't consider Aaron Hernandez white, then at least you can say this was probably the last time a NFL team fielded 11 non-black offensive players.
During the 2012 season, Woodhead left, James Develin came in at FB, Edelman took more snaps at WR, so it's possible for a play or two, they might of had 11 non-black offensive players on the field. As Don previously mentioned, at the end of the 2013 season, the Patriots might of had 10 whites playing on the offensive side due to the late season addition of Austin Collie (WR corps featured Edelman, Amendola, Collie).
The 2011 season was definitely one for the record books! The team came short of winning the super bowl (thanks to the defense), Welker lead the league in receptions and just fell short of leading the league in receiving yards, and this was the season Edelman played the cornerback position.
I'm only 31 years old, and as of today, this was my all time favorite caste-busting team!