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Senior Sergeant Anthony Bond said a 21-year-old man was stopped after overtaking police on Dunedin's Northern Motorway at 9.15pm on Saturday.
The driver was travelling at 141km/h in a 100km/h area.
His licence was suspended for 28 days and an infringement notice was issued.
A few hours later, police were called to Cashel St in South Dunedin after a "very intoxicated" 21-year-old man punched an Allied Security employee in a random attack.
The victim, a 44-year-old man, received minor bruising to his face.
The alleged attacker was arrested.
Also on Sunday, police were called to Tomahawk Beach after reports of a person on a motorbike harassing sea lions at 4.30pm.
The person left the scene before police arrived.
Anyone with information was asked to call 105 and quote P048775986.
''It’s a reminder to people on the beaches this summer to stay away from the wildlife,'' Snr Sgt Bond said.