The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 3 0 0 3 0 3 3 0 3 6 0 6 6 3 0 0 3 0 6 3 6 0 6 6 6 6 0 3 0 0 0 0 3 6 6 0 6 3 3 0 0 6 6 6 generates a code of length 15 over Z9 who´s minimum homogenous weight is 27. Homogenous weight enumerator: w(x)=1x^0+52x^27+162x^30+26x^36+2x^45 The gray image is a code over GF(3) with n=45, k=5 and d=27. This code was found by Heurico 1.16 in 0.0059 seconds.