The ammeter is normally very steady, depending on the state of the battery mine normally shows 10 amps immediately after starting which slowly drops to just over the "0" centre mark, slightly positive charge after about a minute, maybe less.
Then as I switch stuff on it will very slightly move as the alternator takes up the added charge needed for whatever is on but it never bounces between readings. Mostly you have to look hard to see it's moved off the stop, it only shows a very small charge rate.
I don't know the voltages off hand but 15+ sounds a lot, I thought the regulator in the alternators topped out at around 14v. But it's been a while since I last had anything to do with regulators, someone else will chip in no doubt.
I'd start checking connections. If the car has stood for a long while, you almost certainly will have some poor earth connections somewhere so that's where I'd start. Pick a circuit, follow it through to every connection and check the path to earth. I'd make a list and tick them off.