Is that with all animated textures, or only this one? In particular, does it work with smaller textures and not with larger (or smaller number of frames in the sequence... I am not sure if C4D loads the whole sequence into memory, perhaps?) When does the "413 request entity too large" appear, when preparing the animated texture in the bitmap loader, or at render time with Corona, or at some other point? Can you share the image sequence via the private uploader? How much RAM does your system have?
Sorry for the questions, but my first thought is that C4D is running out of memory to load the image sequence, rather than a Corona error, but I can't say for sure without knowing more info about what, when and how it all happens :)
Cheers!
EDIT - also, does the same image sequence render (on a regular object, like just a cube) with other render engines?