Toilet distance from new soil stack vent

[Rdel]

I am adding a bathroom on a new second story addition.
I would like to plumb the bathroom as pictured below, but wanted to confirm it is OK to have the new soil stack vent as far from the toilet as I have it. The horizontal drain line from the toilet to the stack is roughly 10', and so because it is over 6' I assume I need the additional pictured toilet vent tied to the other vent lines (roughly 72" above vanity/sink). I plan to run the main stack vertical run as 3", and the toilet and fixture vent lines as 2".

Anyone see any red flags here?

Also, can my fixture vent lines run horizontally (with 1/4"/ft slope)?

Thanks so much,
-Rob

 

[Reach4]

What you drew works. I think you can eliminate the toilet vent as long as you use 2 inch pipe below the lavatory sanitary tee.

You probably could eliminate the tub vent. More vents won't hurt. https://wabo.memberclicks.net/assets/pdfs/Plumbing_Venting_Brochure_2018.pdf

 

[Sponsor]

 

[Terry]

The lav run with 2" vents the toilet.
The tub vent would also vent the shower.

 

[Rdel]

Thanks reach4 and Terry.
Terry, would you comments be valid only under the assumption that the distance from the lav vent to toilet is <6', likewise regarding the shower to tub vent?