Using a discrete Fourier transform-based Brillouin optical time-domain reflectometer, the observation of distributed high-order acoustic longitudinal modes with a 20 m spatial resolution are reported. A dispersion shifted fibre is investigated and a spectrogram with up to a 44 dB dynamic range is reported. Four modes at 10.53, 10.79, 11.0 and 11.16 GHz are clearly identified.