The WH should pull the press credentials, from all NYT correspondents who cover the WH, for say 30 or 60 days. Covering the WH is a privilege, not a right. There is also an obligation on the part of the press to report the facts and to leave the opinion section to the editorialist's.
I know the media would scream bloody murder, if the WH had the courage to do so, but it would still be worth it.