Again?
TK is a publicly traded Company (with Turkish government owning some shares, but the same is with e.g. AY and Finnish government). 1 minute Google search gets you links to their (audited) Annual Reports and financial results. Even AA that moans about ME3 never mentioned TK.
Well, they've started listing the company in 2004, with some 20% of shares offered publicly, after the first big order of planes that launched their expansion. And I say that as a fan of the airline, don't get me wrong. Extremely decent in Y and great coverage of the parts of the world I like (unlike oneworld).