Pilot reported all main tires were blown on landing rollout as a result of the parking brake being inadvertently left on during the preflight.

Narrative

Parking brake inadvertently left on during duration of flight leading to all 4 main tire blowouts upon landing Runway XX; ZZZ. Flight originated ZZZ1 after unloading/loading cargo freight. The parking brake; located a few inches off the floor and out of usual line of sight; is required to be set to the off position in the after start checklist. This item was missed and unnoticed during taxi. During takeoff; the aircraft experienced longer than normal ground roll and a slight yaw at the moment of rotation. I incorrectly diagnosed this behavior as a wind shift and did not discover the incorrect parking brake setting for the remainder of the flight. Upon touchdown Runway XX; ZZZ; the aircraft decelerated abruptly. Some differential power was required to stay on centerline. I estimate that the aircraft stopped about 1;500 feet past the touchdown point. The parking brake setting was discovered a few seconds after the aircraft came to a stop. After setting the parking brake off; I applied roughly 50 percent power in an attempt to move the aircraft. It was apparent that the aircraft was not going to move under its own power. I radioed the FBO informing [them] that I will need a tow. ZZZ airport operations also responded and said they would NOTAM close Runway XX. I also radioed ZZZ Center control informing them that I am currently disabled on Runway XX and ZZZ airport operations will be issuing a NOTAM soon. Upon shutting down and inspecting the landing gear I found all 4 main tires to be blown and sitting on the rims. It did not appear that any more damage had occurred. The aircraft was unable to be towed until at least 1 main tire on each side could be replaced. The aircraft was on Runway XX for about 3.5 hours. Aircraft was returned to service after tires were replaced and signed off by a mechanic. My opinion is that this incident was clearly pilot error and a lack of appropriate checklist usage. Additional company training was conducted with the company Chief Pilot concerning checklist usage.