Never mind the above remark.
The quote comes verbatim from an article regarding the Pentagon Papers
written by James Reston, and appearing in an op-ed piece in the NY
Times of June 23, 1971:
Who Elected The Times?
by James Reston
"...Who, it is asked, elected The New York Times? How can outsiders
judge better than the official insiders what damage may be done by
publication of secret documents?..."
I trust this information fully answers your question.
However, please don't rate this answer until you have everything you
need. If you would like any additional information, just post a
Request for Clarification to let me know how I can assist you further,
and I'm at your service.
All the best,
search strategy -- searched the NY Times database for the phrase in question.