Stat hounds – what’s the most wins in a season by a team picking first overall?

I wasn't able to find the answer via Google. Most of the bad teams improved on paper (Jags, Lions, Jets, Texans) and I'm thinking teams picking early next year may have more wins than usual. I could see the first pick going to a team with 3 or 4 wins and a team with 6 or 7 wins still picking relatively early. Curious if anyone foresees a scenario where we exceed expectations and still end up picking in the top 5.