S. 829, 838-39 (1978). The First Amendment access right imposes a heavy burden on those who seek to limit public access to justify the restriction. See Globe Newspapers, Co. v. Superior Court, 457 U.S. 596, 606 (1982) ("the State's justification in denying access must be a weighty one"); Lugosch v. Pyramid Co., 435 F.3d