The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 1 1 3 3 1 1 1 0 3 0 0 0 0 0 0 0 0 0 0 0 3 6 3 3 6 3 3 3 0 0 6 0 0 3 0 0 0 0 0 0 0 3 3 0 6 6 0 3 3 6 0 3 3 0 0 0 0 0 3 0 0 0 0 0 0 6 3 3 3 6 6 0 6 6 3 0 3 3 6 0 0 0 0 3 0 0 0 0 3 6 0 6 3 3 3 0 0 3 3 0 6 0 0 0 0 0 0 0 3 0 0 0 6 6 0 6 0 0 6 6 3 3 6 0 3 3 6 0 0 0 0 0 0 3 0 0 6 6 3 6 6 3 0 0 0 3 6 6 0 6 0 0 0 0 0 0 0 0 3 0 6 0 6 0 0 3 3 3 3 3 6 6 3 0 0 0 0 0 0 0 0 0 0 3 6 0 3 3 6 0 6 0 3 3 0 6 6 6 3 generates a code of length 24 over Z9 who´s minimum homogenous weight is 30. Homogenous weight enumerator: w(x)=1x^0+180x^30+500x^33+766x^36+1284x^39+486x^40+2138x^42+3888x^43+3030x^45+11664x^46+3522x^48+15552x^49+3090x^51+7776x^52+2462x^54+1560x^57+742x^60+302x^63+96x^66+10x^69 The gray image is a code over GF(3) with n=72, k=10 and d=30. This code was found by Heurico 1.16 in 15.7 seconds.