As Carol said, it is the term for "martial"… basically, kobudo 古武道 is "old martial ways". The more common usage is for Ryukyu Kobudo, which dominantly refers to weaponry systems associated with the Ryukyu Kingdom (which contains Okinawa), covering such weapons as Bo, Tonfa, Nunchaku, and Sai, but also less commonly known weapons, such as Eku (oar), Tuite, Kaiken, and more. This area of knowledge is sometimes seen alongside karate systems (more often Okinawan systems, but sometimes Japanese ones as well), although it strictly speaking is more of a separate art.
Tuite, as I have always understood the term, is not a weapon. It is a system of joint locks and pressure points geared towards pain compliance. Is there some other meaning to the word that leads you to include it in a list of weapons?