Details about a possible motive or how and when the victims were killed have not been released.
Sumner County is northeast of Nashville not far from the Tennessee line with Kentucky.
Two more bodies have been found after Saturday's killing spree in Tennessee, raising the death toll to seven while an eighth victim remains in critical condition, local officials say.
According to the TBI, Michael Cummins is a person of interest in connection to the current investigation of 5 homicides.
Sumner County Sheriff Sonny Weatherford said "several bodies" were discovered at a home in northern Sumner County late afternoon on Saturday.
A family friend identified three of the deceased victims as relatives of Cummins: David and Clara Cummins, the mother and father of the suspect, as well as Charlie Hosale, Cummins' uncle.
In a creek bed approximately one mile from the first scene, the search plane appeared to locate the individual.
Investigators say Cummins may be in the woods nearby, and their "best guess" is that he's traveling by foot, DeVine said. His injuries are not thought to be life-threatening, and no officers were hurt.
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