How to vent a floor sink when the closest wall is almost 10' away?

[Mliu]

In the cafe I'm designing, there will be a coffee bar with a 3-compartment sink. The sink's drain will be indirectly plumbed to a floor sink with a required air gap. But the closest wall is 9.6 feet from the location of this floor sink. Is it acceptable for the vent to be that far from the floor sink trap? Do I just upsize the fixture arm drain pipe to ensure that the vent connection opening remains above the trap weir?