The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 0 3 0 0 0 0 0 0 0 3 6 0 0 0 3 0 0 0 0 0 3 6 0 0 0 0 0 3 0 0 0 0 6 6 0 0 0 0 0 0 3 0 0 0 6 6 3 0 0 0 0 0 0 3 0 0 6 6 6 0 0 0 0 0 0 0 3 0 6 3 6 0 0 0 0 0 0 0 0 3 6 0 6 0 generates a code of length 12 over Z9 who´s minimum homogenous weight is 9. Homogenous weight enumerator: w(x)=1x^0+44x^9+152x^12+356x^15+728x^18+1172x^21+14588x^24+1288x^27+890x^30+392x^33+72x^36 The gray image is a code over GF(3) with n=36, k=9 and d=9. This code was found by Heurico 1.16 in 0.158 seconds.