Took my FC 10 trips. 4 solo trips to 22 (failed), 2 solo trips to 21 (failed), 2 trips to 21->22 (failed), 2 trips to 22->21 (unlocked on the second try).
None of my ships have tatanora parts. The one that unlocked it has an Enterprise Hull, Invincible Propellers, Odyssey forecastle, & Odyssey aftcastle.