This is the code for mine, which I stole from Hollow because I was curious.
<div id="gaf210imvustylez_youtubebox" style="width:235px;height:24px;overflow:hidden;display:table-cell;vertical-align:bottom"><object width="265" height="24"><param name="movie" value="https://www.youtube.com/v/WhRFKNubcHM&modestbranding=1&fs=0&rel=0&hd=1&showinfo=0&iv_load_policy=0&autoplay=1&loop=1&version=3&autohide=0&theme=dark" /><param name="allowscriptaccess" value="always" /><embed src="https://www.youtube.com/v/WhRFKNubcHM&modestbranding=1&fs=0&rel=0&hd=1&showsearch=0&showinfo=0&iv_load_policy=0&autoplay=1&loop=1&version=3&autohide=0&theme=dark" type="application/x-shockwave-flash" width="265" height="24" /></object></div>
I highlighted the link format in red, since you need to follow said format to a T. Basically, take the code I gave, copy the random assortment of characters at the very end of the youtube link (for the individual video only, playlist details won't work properly) and paste them after the /v/ in the url portion of the code.
I'm not sure about the code for playlists or if Ultimate Profile even supports full playlists.