The Liberty Project is an organization that supports wrongfully convicted criminals and gives them legal assistance. It's an organization that was founded by Patricia Barnes, wife of judge Robert Barnes, the judge of David Clarke's trial.
During one of the organization's gala, The Liberty Project's gala, Patricia Barnes exposed her husband, Judge Barnes by reveling that the judge knew David Clarke was convicted by a tainted jury. At the same event she also unveils her bruised arms and accuses him of abusing her.
This was first mentioned in Season 2, Episode 10.