틀리다 means being wrong or getting something wrong, and the -게 adverb says how badly or in what style: 와우! 이렇게 틀릴 수가, 틀려도 이렇게 정교하게 틀릴 수 있나?, and the resigned 이왕 틀릴 거 재미있게 틀리자, "if we're going to be wrong, let's be wrong entertainingly." With 크게 it usually appears in the softening phrase 크게 틀린 건 아니죠, "it's not far off." Korean speakers often say 틀리다 casually where 다르다 "be different" would be correct, but its proper meaning is "wrong."