Battery will drain when sitting for a period of time, the alternator puts out 14 volts, installed new battery but problem persists. something is draining the battery, please help

Battery needs to be replace...test is not accurate...

Have you had the alternator check for a bad diode it may not put out enough to keep the battery charged after 10 to 14 days. The bridge in the alternator could be weak. Hope this helps.

Yes and no.
It sounds like you have a wiring problem.
The alternator output could be 14 volts and only one or two amps, but that would be enough to kill the warning light. Its more likely the alternator is charging but the current is not reaching the battery.

Check to see if alternator is charging

If it's clicking, it's not a fuse , its a Relay. Relays Do sometimes stick. Or it can be clicking due to low voltage that was caused by something else.

To see if that's your issue, charge the battery, take the Relay out of the car and see if the battery stays charged after 12 hours.
If teh battery stays.. then first step is to replace the relay.

No such thing. If you have a new battery, and the alternator's testing fine then there's obviously something draining the battery.
You'll need a multimeter for this. First off, once started, test the battery voltage at idle. Then increase RPM to about 2000. The idle reading could be as low as 10 Volt(since you just put a massive drain on the battery but should pick up with RPM to aboout 13 Volt at least. It could even go up to 14 Volt.
If that is fine, shut down. Disconnect the neg pole on the battery. Switch your multimetre to Amps(You may have to move one of the meter wires to a current measuring connection on the meter.) Connect the leads between the neg of the battery and the cable that came off it. A reading any larger than 0.5 amps (500mA) could mean trouble. First thing I always check for is trunk and glove compartment lights. They may not be turning off with the lid closed. Next is aftermarket amplifiers. If incorrectly installed it does not shut down and drains the battery in no time at all.

altenators have to be running a 13.5 volt charge to be good

I'm thinking that either you have something draining power all the time or your battery is not getting its proper charge.Have you tried removing a battery cable when you park it to see if that makes any difference? That would tell you if something in the car is draining power. Have you had it tested to see how much power the alternator is putting out, should be close to 14 volts, and did you test to see if that power is getting to the battery? There might be a problem with the feed to the battery. Hope this helps.

take it to an autosparky ......They will check to see if there is a drain on the battery.
cheapest and fastest option.

bad alternator possible or bad battery..even though its new that battery can be bad. I would take a volt meter and with the engine running check the volts of the battery..If the volts are 12 you need to replace alternator, if volts are 14 you need to check the battery. to check the battery hold the volt meter to the battery and have someone start the car..while the starter is cranking battery volts should not drop below 10volts.if they do your battery is bad.