Welcome to your introduction to "courtesy towing." As someone else mentioned, it's probably worth it to report it stolen. Then put together a map of about a half mile radius from where you parked it and check the streets. You will probably find it.

Then, you'll have to call the police to say that your car has been found, but given that somebody fucked up inputting the tow into the system, this generally provides a paper trail that will coincidentally make sure that any ridiculous tickets you find under your windshield wiper won't make it into the system either.