However, in July it was announced the Court of Appeal had his argument dismissed.
Quinton Winders was sentenced for the murder of George Taiaroa in December 2016.
Winders believed leave should be granted so the Supreme Court could consider the issue of sentence reduction as a remedy for breach of the Bill of Rights Act.
In his trial, the High Court ruled some evidence was admissible because the police were in breach of the New Zealand Bill of Rights Act 1990.
"An appeal against the decision that such evidence was admissible was dismissed by the Court of Appeal," the Supreme Court said in its latest decision.
The Supreme Court also agreed and did not consider Winders case worthy for consideration under the argument he was using.
"Nor do we see any appearance of a miscarriage in the way the Court of Appeal dealt with this issue," the Supreme Court said.
"We therefore dismiss the application for leave to appeal."