It does not appear that the code has any required depth for this installation.
770.3 Other Articles.
Circuits and equipment shall comply with 770.3(A) and (B). Only those sections of Chapter 2 and Article 300 referenced in this article shall apply to optical fiber cables and raceways.
I don't see 300.5 cited in Article 770.
That being said, if this installation is in an area where it gets cold, I would try to get it below the frost line. I have worked on two different fiber cables that were damaged when the raceway filled with water and froze.
Polywater even has an antifreeze for this application.