Although the Lanczos potential (a (2,1) form, Labc) for the Weyl tensor does not exist in dimensions greater than four, a new potential (a (2,3) form, Pabcde, which coincides with the double dual of Labc in four dimensions) has recently been shown to exist in all dimensions n ≥ 4. In this talk we investigate the question of gauge and discuss the structure of the new potential's wave equation which is obtained from the Bianchi identities; identifying the gauge supplies us with a new direct proof of the existence of Pabcde via the Cauchy-Kowaleski theorem, as well as the foundation for more general investigations of the first order symmetric hyperbolic structure.