The group is seeking new evidence from the original trial. The new development was first reported by KGO-TV, ABC7's sister station in San Francisco.
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Laci Peterson was 27 years old and eight months pregnant when she disappeared on Christmas Eve in 2002. Her body was found in the San Francisco Bay in April 2003.
Scott Peterson was arrested and charged with first-degree murder in the death of his wife and second-degree murder in the death of their unborn son. He was convicted in 2004 and sentenced to death in 2005. He was later sentenced to life in prison without parole.
Superior Court Judge Anne-Christine Massullo denied Peterson a new trial in December 2022.
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Peterson, who pleaded not guilty, and his legal team have maintained his innocence and claimed he received an unfair trial based on possible jury misconduct.
MORE: Scott Peterson criminal probe - A timeline of events
TIMELINE: How the Laci Peterson case unfolded
ABC News contributed to this report.