LONDON — Britain’s Prince Harry cannot expand his lawsuit against Rupert Murdoch’s U.K. publishing company to include additional claims that the media mogul personally “turned a blind eye” to an alleged coverup of phone hacking and other wrongdoing at his U.K. newspapers, London’s High Court ruled Tuesday.

Judge Timothy Fancourt was critical of the request by Harry and others who claim they were victims of the hacks, likening it to hunting for “ ‘trophy’ targets” in the long-running civil litigation. But the judge also cleared the way for plaintiffs to air allegations that current and former executives below Murdoch carried out an effort to conceal evidence related to the hacking, including William Lewis, now the publisher and CEO of The Washington Post.