We demonstrate that numerical relativity codes based on the moving punctures formalism are capable of evolving nearly maximally spinning black hole binaries .
We compare a new evolution of an equal-mass , aligned-spin binary with dimensionless spin \chi = 0.99 using puncture-based data with recent simulations of the SXS Collaboration .
We find that the overlap of our new waveform with the published results of the SXS Collaboration is larger than 0.999 .
To generate our new waveform , we use the recently introduced HiSpID puncture data , the CCZ4 evolution system , and a modified lapse condition that helps keep the horizon radii reasonably large .