Can a contact have more than 5 websites?
A quick workaround which I can see is you can easily add n number of websites for a contact from the Contact Edit Form (Click Edit on the Contact Summary Page).
&lt;site_name&gt;/civicrm/contact/add?reset=1&amp;action=update&amp;cid=&lt;contact_id&gt;.

This is restricted to a count of 5 (may be a bug) in Inline Edit mode according to the code written here.