  We calculate puncture initial data, corresponding to single and binary black
holes with linear momenta, which solve the constraint equations of D
dimensional vacuum gravity. The data are generated by a modification of the
pseudo-spectral code presented in arXiv:gr-qc/0404056 and made available as the
TwoPunctures thorn inside the Cactus computational toolkit. As examples, we
exhibit convergence plots, the violation of the Hamiltonian constraint as well
as the initial data for D=4,5,6,7. These initial data are the starting point to
perform high energy collisions of black holes in D dimensions.
