I would like to know if there is any configuration that I can change on Perl to increase the max PID value capacity

I don't have an answer to that question, but perhaps you'll get to see the larger values by calling POSIX::getpid instead of $$.
(This would require, of course, that the POSIX module be loaded.)

Or there might be some other module that would return the larger values.

Cheers,
Rob