The New Roman Empire was a civilization that flourished around the year 12005.
Shortly after Rose Tyler became the Ninth Doctor's travelling companion, he took her to 12005 - a year where the New Roman Empire flourished. The Ninth Doctor dismissed 12005 as 'boring' as it wasn't enough into the future so they didn't leave the TARDIS. They eventually landed in the year 5 billion. (TV: The End of the World)
During the 120th century, 17 December was the date of Neo-Saturnalia in the New Roman Empire. (PROSE: Time Traveller's Diary)