A driver who was restricted to 45mph was detected doing 78mph on the Dunhill Road near Coleraine.
Robert William Joseph Kelly (24), of The Oaklands, Claudy, had the offence detected on June 24 this year.
Coleraine Magistrates Court heard the defendant replied “I’m sorry” when charged.
Defence solicitor Keith Kyle said the defendant’s restricted period is due to end later this year.
Deputy District Judge Brian Archer said: “Not only is he in excess of the restricted driving speed limit but also the normal speed limit”.
The defendant was given five penalty points and fined £150.