I came up with this as a personal game to play, I couldn't do it, so I've brought it to the forums as a challenge to any Victoria 2 adept.
step1. Release Cyprus from the Ottomans
step2. Conquer both Greece and Turkey to form a union state between the two. (Cyprus has Greek as primary culture and Turkish as an accepted one)
step3. Expand the empire to the size of both the Byzantine Empire and the Ottoman Empire at their heights (excluding Italy)