That sortof has been done with Oldham's/Millon's personality sytems, which are based on all the research that was checked and evaluated by professionals creating the versions of DSM/Diagnostic and Statistical Manual of Mental Disorders.

Funnily enough they got almost 16 personality types - and I think someone (unofficially) tried to extend them to 16 from the original 14 then 15 types after Millon added a 15th type.

And again, funnily enough, Oldham's and Millon's descriptions and analyses of these types do often coincide with Socionics types. Not always though. But quite often it's funny how similar it ends up in aspects.

This despite them never working by the ideas from Jung or MBTI or whatever. Their approach is the most scientific currently since it builds on all that research and observation by researches and by practicing therapists etc too.