The generator matrix 1 1 1 1 1 1 1 0 3 0 3 0 3 6 0 0 3 6 6 3 0 generates a code of length 7 over Z9 who´s minimum homogenous weight is 12. Homogenous weight enumerator: w(x)=1x^0+10x^12+54x^14+12x^15+2x^18+2x^21 The gray image is a code over GF(3) with n=21, k=4 and d=12. This code was found by Heurico 1.16 in 0.000108 seconds.