Mill Street is about three miles long from Park Ave to Tatnuck Square and it has sidewalks on both sides all the way down. There are only a couple of side streets on it that get a meaningful amount of turning traffic so your chances of a mostly uninterrupted run are quite good. So not quite 10 miles but there you go. Mill street is also very flat which is nice. You could extend the run and add a hill by going up the street that brings you to the Washington heights apartment complex off Mill (Williamsburg Dr) There is a network of mostly gravel streets up in those hills that is easy to kinda get lost in without a gps but there's almost no traffic.

I would suggest you poke around on Google Maps regarding this area to see what I mean about the street network on the hill. I might be misremembering which street takes you there. If it's not Williamsburg it is First, Second or Third Ave off of Mill.