The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 3 1 3 3 0 3 0 0 0 0 0 0 0 0 0 0 0 3 6 6 3 6 3 3 3 3 3 3 0 0 3 0 0 0 0 0 3 3 6 6 6 6 0 0 3 0 6 3 0 6 3 0 0 0 0 3 0 0 0 3 6 0 3 6 6 6 0 3 3 3 3 6 6 3 0 0 0 0 0 0 3 0 0 6 6 3 0 3 6 6 0 0 0 3 0 3 3 0 3 6 0 0 0 0 0 3 0 6 3 6 3 0 6 6 6 6 0 6 0 3 0 3 6 3 0 0 0 0 0 0 3 3 0 6 6 3 6 0 3 6 3 0 0 0 6 3 3 3 generates a code of length 24 over Z9 who´s minimum homogenous weight is 36. Homogenous weight enumerator: w(x)=1x^0+172x^36+18x^38+162x^39+180x^41+306x^42+720x^44+282x^45+1440x^47+324x^48+1440x^50+252x^51+576x^53+398x^54+162x^57+90x^60+38x^63 The gray image is a code over GF(3) with n=72, k=8 and d=36. This code was found by Heurico 1.16 in 3.79 seconds.