EA Having Trouble Producing Battlefield 1 Beta Codes

According to EA's support, there is an issue with producing the keys required to enable beta access to Battlefield 1. The beta begun today for EA Insiders, with an open beta beginning tomorrow for everyone else, but hundreds of unlucky Insiders have been hit by an error.

Below is a transcript of the chat one of our staff had with EA, when he did not receive an email with his code:

Support
I understand that you want to get the code for the accout, I can also see here that you are eligible for the code but the thing is. for now, we can't generate the code for you because of having system issues.
you
Oh... Is there any idea when the code will be available? My friends are all playing.
Support
I cant guarantee any time frame for this, because we are also waiting for the fix.
you
Is there anyway I could get a key earlier? Or will I just have to simply wait?
you
Can I ask how the code generator is broken?
Support
Sorry, that's internal information that we can't disclose.

We'll let you know more as we know it.