"164" Marking Vintage Tudor gold-tone case ID help

[AlexS_014]

Hi all, I just bought this case online and am having a hard time determining which 34mm model it is for. I believe it's for an automatic model based on the deeper caseback(my manual wind tudor has a completely flat caseback) and I'm wondering if it's a no-date based on the crystal without a cyclops, though the crystal might have been replaced.

As a bonus question does anyone know which diameter dial a 34mm Tudor case takes?

I would like to start ordering parts to build this into a complete watch.

Thanks!