The generator matrix 1 1 1 1 1 1 1 1 1 3 3 3 3 0 3 0 0 3 0 3 3 6 3 6 0 0 0 0 3 0 6 3 6 3 6 0 0 0 3 0 0 0 3 6 6 0 6 6 3 6 3 6 generates a code of length 13 over Z9 who´s minimum homogenous weight is 21. Homogenous weight enumerator: w(x)=1x^0+28x^21+82x^24+90x^27+26x^30+8x^33+8x^36 The gray image is a code over GF(3) with n=39, k=5 and d=21. This code was found by Heurico 1.16 in 0.000719 seconds.