A vent stack is not like a chimney which requires 2 higher than any roof within 10.
Vent stack height above roof.
Quoting the irc model plumbing code.
Extension of vent pipes through a roof shall be terminated not less than 12 inches above it.
Each vent pipe or stack shall extend through its flashing and shall terminate vertically not less than 6 inches 152 mm above the roof nor less than 1 foot 305 mm from a vertical surface.
A stack vent shall be installed for the waste stack.
The size of the stack vent shall be not less than the size of the waste stack.
12 4 1 extension above roofs.
D where the buildingis 4 storeys or less in height the vent pipe terminates above the roof of the building.
Vent pipes shall terminate not less than 6 inches above the roof measured from the highest point where the vent intersects the roof.
From any vertical surface the soil pipe also known as the vent stack or stack pipe provides air for the plumbing system.
I have a main vent and a sink vent and both are only 6 high above the roof.
The 6 you describe should be just fine.
I d maybe try to tie that existing 2 vent into your new 3.
4 except for a fresh air inlet where a vent pipe is terminated in open air the terminal shall be located a not less than 1 000 mm above or not less than 3 5 m in any other direction from every air inlet openable window or door.
You are letting air into the plumbing system of the house.
Above the roof plumbing vent height.
Above the roof nor less than one 1 foot.
Plumbing code citations for plumbing vent or vent stack clearance distances.
Vent pipes should extend to outdoors above the building roof and should terminate vertically not less than 6 above the roof surface nor more than 24 and must be at least 12 from any vertical surface such as a nearby sidewall.
Where a roof is to be used for any purpose other than weather protection the vent extensions shall be run at least seven feet above the roof.
Additionally vent pipes must be at least 305 mm 12 in away from a vertical surface.
Offsets shall be permitted in the stack vent and shall be located at least 6 inches 152 mm above the flood level of the highest fixture and shall be in accordance with section p3104 5.
Upc i 906 1 and 906 2.
Vents in these locations also should extend 610 mm 24 in above a roof.