Hi Chris,
The Javadoc is correct; the amount of time to wait is 24 hours. Unfortunately, the INVALID_CLICK error means that the click has been removed from our system, and can no longer be processed, so you will not be able to upload conversion data for that specific click. It looks like this is specifically an issue with the 5th item in the list you're trying to upload; try removing just that one and uploading the rest.
Thanks,
Mike, AdWords API Advisor