I think I read it will fit (do not quote me) but you will have other things to deal with too (i.e. chain, brake stay, chain guard, sprockets...) Know that you can do a 77/78K swinger in there if needed. The extra (about) 3/4 of an inch in length will pull it away from the crown a bit giving it a bit extra room.
You may wield a better search result using 140/70-18 There are a few threads on this but note that they are mostly old ones but that should not matter. Just know it is the older ones that will hold the better content.
I am doing that size or one bigger, I still have a little more study on that subject.

I am going to have a box swinger made +2 so I know I will be fine in that matter.