The reason is probably somebody's system sees your SSID and tries to connect to it from time to time, when they get home from work or turn on their system, because your signal is stronger than the one they want or there is a WAP at work but not home.
If you disabled SSID this would not happen innocently.
Volker is right about the security measures -- your network is unsecure. All somebody has to do is sniff enough packets and they can crack your meager encryption, passwords are then irrelevant. Your "secure macs" are easily cloned. With freely available tools, a measure of time, and little know-how they could gain full and unrestricted access to your network.
And perhaps that's what that F6D7 MAC is up to.
-Russ.