Xbox.com has a handy search page to lookup error codes:
From that page, those is the answer and resolution they give, good luck:
Error C000-000E occurs when you try to download an update to your Xbox 360 console
You see the following error when you try to download an update to your Xbox 360 console:
error code xxxx-xxxx-xxxx-xxxx-C000-000E
In this error code, the "x" digits vary.
This error message means your console could not download a software update from Xbox Live.
To resolve this problem, try the following solutions:
Try installing the update again.
If you're having problems connecting or staying connected to Xbox Live, see Troubleshoot your Xbox Live connection
You can also update your console software by copying the update to a USB flash drive or a disc and then applying it to the console. "