Fattest neck I ever had was from Allparts - the maple with black blocks, binding and clear gloss finish. Don't know the dimensions but might be available from Allparts. I loved the fat back but it adjusted at the heel with a screwdriver (major PITA) and now I like to have identical necks on all my basses so I use the standard contour Warmoth.
Yep I have a blocked All Parts neck and its the biggest J neck I have ever played and i have played and owned hundreds.