Carter smashed Knight's Anton Devcich for six 6s in the 16th over of the innings, while chasing 220. This enabled Canterbury to register a win over Knights by seven wickets and with seven balls to spare.
Carter played a knock of 70 runs from just 29 balls.
Apart from his marvel, Gary Sobers (West Indies), Ravi Shastri (India), Herschelle Gibbs (South Africa), Yuvraj Singh (India), Ross Whiteley (England) and Hazratullah Zazai (Afghanistan) are the other batsmen to have achieved the feat.
When it comes to T20 cricket, Carter is just the fourth batter after Yuvraj, Whiteley, Zazai to smash achieve the milestone in an over. Yuvraj is the only batsman to have scored six 6s in an international T20I. He had done so in the inaugural T20 World Cup against England in 2007.