So, the reason why the URL doesn’t work is that the DNS record is deleted, and the httpd is no longer configured to serve this content (so the requests fail even if you spoof the DNS, especially since they use HSTS, with which most browsers won’t let users add a certificate exception).
There is another software that is meant as a frontend for Instagram (proxigram) but even if it isn’t discontinued, none of the instances I could find work (they all return '403 - blocked" at best).