A panel of judges are reconsidering the David Tamihere double murder conviction 33 years on.

His case is being heard in the Court of Appeal.

Tamihere was convicted of killing two Swedish tourists in 1989, and released on parole in 2010.

Open Justice reporter Ethan Griffiths says it's being claimed the convictions were predominantly based on circumstantial evidence.

"Tamihere's lawyer essentially told the court developments since the trial raised doubt over the convictions." 

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