I've asked for and gotten 30% raises twice in my career (at two different companies), so here's my advice. Yes, definitely ask. First, do so in an incredibly positive manner. I.e., "I love my job and working for this company, blah blah, but want to make sure I'm getting paid commensurate to my value." In other words, the only issue you present is that you want to get paid what you are worth. I wouldn't bring up other people, and I wouldn't say anything negative.
Second, have this conversation separate from annual raise time. Companies typically have a budget for annual raises, so if someone gets a larger than normal raise, it has to come from other employees. But if you request this at another time, it comes from a different pot of money and all of a sudden, big things become possible.
Oh, and yes, ask for a big raise as long as you think there is data out there to support it. You don't even have to reference the data points necessarily; believe me, they know you are underpaid.
Good luck and let us know!