Playing a 360 game disconnects me from party chat

I am having the same issue and it's starting to make me become very agitated. Sporadic disconnects from XBox live when I am not actively playing an online game. If I am playing a single player game, Skyrim for example, within 5 minutes I am disconnected
from Live. If I am in a Party Chat I am disconnected from the chat but not Live. Then I have to reconnect to the Party. Or, my friend are booted from the party and not me...the party issues happen every 2-3 minutes or less sometimes. Starting to get very aggravating.

It disconnects me from Live without a code.

The Ethernet cable is brand new, and so is the router.

All external devices have been removed.

Corrupt data removed.

Cleared cache three times and then power cycle

Still, when playing a game, I will receive a party invite, or private chat and if I try to join, I will join, talk for a while and then be kicked from party, and then eventually disconnected from Live.

Once I was able to stay connected to a party, but then I was disconnected from the EA servers while playing NHL 15.

The problem doesn't just stay with parties, I can not even play multiplayer games with them as it disconnects me from them, around the same time as it disconnects me from the party.

I'm having the exact same issues. I've tried everything. It seems too only disconnect me from xbox live when I'm playing with friends. It also kicks me out of party chats. I have a 360. I got a buddy that it won't even let him play Advanced Warfare on his
360 but his Xbox One works just fine. Please help!

Now mid party chat its disconnecting me and my party