You are letting air into the plumbing system of the house.
Vent stack height above roof.
D where the buildingis 4 storeys or less in height the vent pipe terminates above the roof of the building.
Upc i 906 1 and 906 2.
Additionally vent pipes must be at least 305 mm 12 in away from a vertical surface.
12 4 1 extension above roofs.
I d maybe try to tie that existing 2 vent into your new 3.
In locations known for snow the vent pipe needs to be at least 51 mm 2 in in diameter and 305 mm inside an insulated area of a building before extending through the roof.
Plumbing code citations for plumbing vent or vent stack clearance distances.
Quoting the irc model plumbing code.
From any vertical surface the soil pipe also known as the vent stack or stack pipe provides air for the plumbing system.
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.
A stack vent shall be installed for the waste stack.
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.
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.
The size of the stack vent shall be not less than the size of the waste stack.
According to the uniform plumbing code the soil pipe or stack pipe shall extend vertically not less than six 6 inches.
I have a main vent and a sink vent and both are only 6 high above the roof.
The slope is about 4 high for every 12 horizontal.
Vents in these locations also should extend 610 mm 24 in above a roof.
Vent pipes shall terminate not less than 6 inches above the roof measured from the highest point where the vent intersects the roof.
A vent stack is not like a chimney which requires 2 higher than any roof within 10.
The 6 you describe should be just fine.
Above the roof nor less than one 1 foot.
Extension of vent pipes through a roof shall be terminated not less than 12 inches above it.