In response to the message, his mother appealed for her son to hand himself in and atone for his crime.
"Tama Kohey, give yourself up,'' the message from his mother on the page said.
"If you do the crime, do the time. Why run when you know that they will get you in the end.
"I'm only putting this out there as it is time for you to grow up and make better choices in your life as I am your mum and I only want what is best in the long run.''
His mother signed the message: "Much love, mum xxxx''.
Tamati Kohey is also known to use the names Tamati Graham and Rikki Attwood.
He is described as having a medium-to-thin build, with short dark hair and approximately 1.73m tall.
He is believed to be in Christchurch but may have recently made his way to Invercargill.
Invercargill police (03) 211-0400, Crimestoppers 0800 555 111.