How to show a fancy 404 page and recording/emailing all exception to Admin

I am on Laravel 5.1.

Whenever there is an exception, Laravel usually shows an exception on the page. I'd like to add a custom 404 page with a human readable error report and email an admin with the entire error dump. I would also like to have the email nicely formatted in HTML (like on the error page).

How can I do this?

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