The DA's office filed eight counts of perjury against Turpin for "filing a Private School Affidavit with the Cal Dept. of Education in 2010-17 where he certified under penalty of perjury that the children in the home were receiving a fulltime education in a private day school."
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Investigators say Turpin, 56, and his wife Louise Turpin, 49, tortured, shackled and starved 12 of their 13 children for years.
The children were rescued after their 17-year-old sibling escaped from their home in January and called 911 from a cellular device she managed to take from her home, investigators said. The two were subsequently arrested.
MORE: Outline of accusations against Turpin parents
Grisly details revealed in Perris child abuse case
Authorities said the evidence of starvation was obvious, with the oldest sibling weighing only 82 pounds.
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The Turpins have pleaded not guilty to torture, child abuse and other charges. David Turpin also faces one count of lewd acts on a child. Both are facing possible life sentences.
The two made a brief court appearance on Friday. David Turpin didn't enter a plea to the new charges.
PHOTOS: Inside the Texas home where Perris siblings lived years ago
The couple's preliminary hearing is scheduled for June 20 and will be held at the Hall of Justice in Riverside.