Dictionary / Vocabulary / 吹聴
ふいちょう
spreading around (news, rumor, etc.); making widely known; making public; publicizing
まあその、自慢できる事でもないんだけど。というか、臆面もなく吹聴できる話でもない。
Well, that is, it's not something I can boast about. In fact, it's not something I can talk about in public without shame