A hearing aid system comprising:, a first hearing aid comprising: a first set of microphones (8, 10) for provision of one or more electrical first input signals (12, 14), a first beamformer connected to the first set of microphones (8, 10) for provision of a first audio signal, a first processing module for provision of a first output signal, and a first receiver for provision of a first audio output; and a second hearing aid comprising: a second set of microphones (40, 42) for provision of one or more electrical second input signals (44, 46), a second beamformer connected to the second set of microphones (40, 42) for provision of a second audio signal, a second processing module for provision of a second output signal, and a second receiver for provision of a second audio output; wherein the first beamformer in a first operating mode of the hearing aid system is configured to provide the first audio signal in accordance with a first primary spatial characteristic, wherein the second beamformer in the first operating mode of the hearing aid system is configured to provide the second audio signal in accordance with a second primary spatial characteristic, the first primary spatial characteristic having a first main lobe with a first direction and the second primary spatial characteristic having a second main lobe with a second direction, wherein the second direction is different from the first direction; characterized in that a difference between a gain of the first primary spatial characteristic in the first direction and a gain of the second primary spatial characteristic in the first direction is larger than a first threshold value; wherein the first direction is within ± 20 degrees of the 0-direction; and wherein the second direction is within ± 60 degrees of the 180-direction. a first hearing aid comprising: a first set of microphones (8, 10) for provision of one or more electrical first input signals (12, 14), a first beamformer connected to the first set of microphones (8, 10) for provision of a first audio signal, a first processing module for provision of a first output signal, and a first receiver for provision of a first audio output; and a first set of microphones (8, 10) for provision of one or more electrical first input signals (12, 14), a first beamformer connected to the first set of microphones (8, 10) for provision of a first audio signal, a first processing module for provision of a first output signal, and a first receiver for provision of a first audio output; and a second hearing aid comprising: a second set of microphones (40, 42) for provision of one or more electrical second input signals (44, 46), a second beamformer connected to the second set of microphones (40, 42) for provision of a second audio signal, a second processing module for provision of a second output signal, and a second receiver for provision of a second audio output; a second set of microphones (40, 42) for provision of one or more electrical second input signals (44, 46), a second beamformer connected to the second set of microphones (40, 42) for provision of a second audio signal, a second processing module for provision of a second output signal, and a second receiver for provision of a second audio output;