In February 2003, she began working for the Kokiri Marae Keriana Olsen Trust, but failed to mention her change in circumstances to the ministry.
Peke falsely submitted forms to the ministry stating she was not working or receiving other income until December 2011 and continued receiving payments.
She received $78,423 in DPB payments and $719 accommodation supplements, totalling $79,142, the court was told.
Reparation was not sought by the ministry but Anitesh Govind, who represented the Ministry of Social Development, said Peke had made arrangements to repay the money.
It was not known what role Peke was employed in at the trust, as people spoken to could not remember her working there.