Police said the teenagers live in Adelaide and were visiting the property for a family gathering.
Major Crime detectives and Forensic Response officers flew to the area from Adelaide and are expected to remain at the property all day.
"(We are) treating this as an incident where unfortunately the father is alleged to have killed his son, and we understand that the female involved is the partner of the son," Detective Inspector Campbell Hill told reporters on Sunday.
"We do have people that were here at the time, we are working through and supporting those."
It is not yet known if a firearm has been seized.