  We present results for lattice QCD in the limit of infinite gauge coupling,
obtained from a worm-type Monte Carlo algorithm on a discrete spatial lattice
but with continuous Euclidean time. This is obtained by sending both the
anisotropy parameter gamma^2 \sim a/a_t and the number of time-slices N_\tau to
infinity, keeping the ratio \gamma^2/N_\tau \sim aT fixed. The obvious gain is
that no continuum extrapolation N_\tau -> \infty has to be carried out.
Moreover, the algorithm is faster and the sign problem disappears. We compare
our computations with those on discrete lattices. We determine the phase
diagram as a function of temperature and baryon chemical potential.
