I need a way to programmatically create Twitter Applications/API keys. I could make something on my own, but does anyone know of a pre-made solution?
Assuming you're referring to the consumer key and consumer secret, you're not supposed to be able to create those programmatically. That's why you have to sign in to a web page with a CAPTCHA in order to create one.
Is there an unofficial API for creating Twitter applications/api keys?