The Twilight Grimoire is the ultimate weapon of every world, as it can tap into the Twilight and evolve it's user to God level. It's current user is Kiba Soavate. Due to the events of Continuum Error, the Twilight Grimoire is permanently broken and unusable.
It was created with the Gurren Sho: Ketan so the Azure sub-section of the Spectrum Wing would be able to continue after one of its living Twilight reactor was killed. In order to complete itself, it graphed itself to the nearest living object, which was Kiba.