While Bruce Willis doesn't specifically chase a "x 22 Raptor", he does face off against a Predator in this film. The Predator's weapon of choice, a plasma caster, emits a unique sound that some viewers have described as sounding like a "raptor".
It's possible the "x 22" part is a misunderstanding or a detail you've misremembered. However, the film's central conflict involves a Predator and its advanced weaponry, which could have created the impression of a "raptor" chase.