State Code 0.0.0 indicates the modem is working properly. 14.1.3 indicates a device on your network disconnects often, and this would not be a HN issue, but something on your network.
EDITED to remove content addressed by Mark below.
Beam 64 corresponds to the ground station in San Diego. Both @maratsade and myself are on a different beam, but that beam is also serviced by San Diego. Lately, I've seen some super long delays at hop where it leaves the ground station and goes out to the internet, since I think that's common amongst all the beams San Diego services, it may be related to that.
State Code 14.3.1 means something on your LAN is frequently disconnecting. It could mean:
1. A bad/intermittent ethernet cable somewhere (if that's what you're using),
2. A device's wifi signal is either weak or intermittent (but I'm not sure abou tthat), or
3. Something is faulty within the modem itself. Might want to wait for an admin that can probe your equipment to see why that code is being generated.
The one thing you can do (if you're using an ethernet cable) is to see if it's connected properly. If it is, try swapping it out with another one you have lying around to see if that fixes the problem.
It's a pretty limited list. I'll PM it.
I created a pdf, but it won't allow adding attachments...