Police said they would like to speak to anyone who had seen the white Honda Odyssey in the Raukokere area over that weekend.
They also wanted to speak to anyone who had seen the driver or passengers, or had who saw the white Honda Odyssey end up burnt out near the river.
"Mr Turei's family are preparing for their first Christmas without him and we are doing everything we can to find the people responsible and hold them to account. If you even suspect you might know who did this, do the right thing and tell us what you know," Warner said.
"We hope solving this crime will go some way towards bringing closure to Mr Turei's family."
Information can be reported to Bay of Plenty police on 07 349 9554 or anonymously via Crimestoppers on 0800 555 111. People can also send a private message to the Bay of Plenty Police District Facebook page.