You need an inside connection. I personally know a large publisher who visited Twitter HQ in California a few times and got a few of his accounts verified. How? I don't know the specifics. I do know however that ad spend can get you verified. I've seen many accounts with no reason to be verified get verified after lots of ad spend. An example was an account called something like summer2013, it spent a ton of money getting followers and a week or two later was verified. But very rapid ad spend is required, so if it's worth experimenting in blowing lots of money in twitter ads, maybe give it a shot.