If that's a 6 then a period the date of that bottle is 1946. I see the Owens-Illinois logo (diamond and circle). Some people collect label beer bottles that are full, but some don't (because of the weight). The fact that they are full may or may not add value. The case is not bad condition at all. I see many worse and they still sell. You could take some really nice pics with a good description and put it on Craigslist and see what happens. Beverwyck would be more desirable to collectors out East compared to where I'm at (indiana) so I wouldn't know the value, but if I had that case of bottles sitting in front of me right now, I'd be happy to get at least $65 to 75 or more.
Hope that helps.