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The radiative 27+--,,nn+7 decay mode was analysed in the 81 cm SACLAY hydrogen bubble chamber exposed to a stopping K-beam at the CERN PS. The pion spectrum was measured up to momenta of 1 50 MeV/c in the 27 rest frame.We obtain the following branching ratios based on 180 27+ --+ nn + ~, and 292 27---+ nn-7 events:F(Z + ~ n n + 7)/F(27 + ~ n n +) = (0.93 ___ 0.10) X 10 -3An unambiguous assignment of S-wave to the 27---* nn-and P-wave to 22+--+ nn + was obtained. The absolute and differential decay rates as well as the parity assignments are in good agreement with theoretical predictions.