As a manager, I won't ask for code by the time someone is in the interview, but I'll read anything shared/linked before that. Usually, that's a GitHub link toward the top of their Resume/CV.
I would say that during the interview is too late to share source code, but one candidate brought in a big binder full of source code. It was a good interview. I read their code and asked them questions about it. It was bad code (as lots of "good enough" code is), but they actively engaged in a discussion with me about how it could be improved. I hired them.
Edit: I'll always read a candidates source code if I can find it. Linked from your website might be too subtle for me on a busy day, though. Depending how prominent your site is on your CV, and how prominent your code is on your site.