Ian Levine has continued to tweet, and claims (a) he first heard these rumors two years ago but was asked not to discuss them "because it could jeopardise the recovery"; (b) the alleged discoverer is the same person who returned two episodes of The Sky at Night
over the past couple years; (c) the number of allegedly-discovered missing Who
episodes is not 60 but 90, completing 21 stories, among 8000 BBC film cans; (d) the 16 still-missing episodes were "Mission to the Unknown," 9 from "The Daleks' Master Plan," and two each from "The Invasion," "The Ice Warriors," and "The Wheel in Space"; and (e) he longer believes anything has been found, in part because there were knowledgeable people at a recent BFI event who told him so. Oh, and Dan Hall, responsible for the recent missing episode DVD animations, was kept out of the loop on these alleged discoveries, which I guess is meant to explain why "The Reign of Terror" and "The Tenth Planet" were animated despite having been, according to these rumors, found.
...Gosh, this is a fun little drama to follow.