No cheat code unlocks a "Rainbow Costume" in Batman: The Brave and the Bold (DS, 2010). The game has no cheat code system (no password entry, no konami-style codes).
Cheat databases (usrcheat.dat) may contain "Unlock All Costumes" codes. Use at own risk — can corrupt save.
It's likely a custom texture hack (ROM hack) or a misremembered skin (e.g., Zur-En-Arrh is colorful red/purple/yellow). No official rainbow suit exists.