  We report the numerical evidence of a new state of active turbulence in
confined domains. By means of extensive numerical simulations of the
Toner-Tu-Swift-Hohenberg model for dense bacterial suspensions in circular
geometry, we discover the formation a stable, ordered state in which the
angular momentum symmetry is broken. This is achieved by self-organization of a
turbulent-like flow into a single, giant vortex of the size of the domain. The
giant vortex is surrounded by an annular region close to the boundary,
characterized by small-scale, radial vorticity streaks. The average radial
velocity profile of the vortex is found to be in agreement with a simple
analytical prediction. We also provide an estimate of the temporal and spatial
scales of a suitable experimental setup comparable with our numerical findings.
