You have downloads on too many devices.
Please remove downloads from another device, or go to netflix.com/changeplan for plan options. (10016-23000)
This error on your iPhone, iPad, or iPod touch means you've reached the maximum number of download devices your Netflix plan allows.
To fix the problem, follow one of these options, then try downloading again:
Delete all downloads directly on one device to free up a slot for another. If you can't access the device that you want to remove downloads from, you can remove its downloads using a web browser.
Change your Netflix plan to one that allows more download devices. To see your current limit, go to Manage Download Devices.