Engine break in oil?

I use brand penn. My machine shop guy had me break in and drive it around for 40-50 miles and change to the regular 15 40 weight Penn grade..
That was gonna be my next question. What weight to run after break in? I was gonna just get some 10w30 and see what my oil pressure does if it's good run it. With new bearings and a new oil pump pressure shouldn't be a problem.