Analyzing Spitzer and Herschel archival measurements we identified a debris disk around the young K7/M0 star CP - 72 2713 . The system belongs to the 24 Myr old \beta Pic moving group . Our new 1.33 mm continuum observation , obtained with the ALMA 7-m array , revealed an extended dust disk with a peak radius of 140 au , probably tracing the location of the planetesimal belt in the system . The disk is outstandingly large compared to known spatially resolved debris disks and also to protoplanetary disks around stars of comparable masses . The dynamical excitation of the belt at this radius is found to be reconcilable with planetary stirring , while self-stirring by large planetesimals embedded in the belt can work only if these bodies form very rapidly , e.g . via pebble concentration . By analyzing the spectral energy distribution we derived a characteristic dust temperature of 43 K and a fractional luminosity of 1.1 \times 10 ^ { -3 } . The latter value is prominently high , we know of only four other similarly dust-rich Kuiper-belt analogs within 40 pc of the Sun .