The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 3 3 1 3 1 1 0 3 0 0 0 0 0 0 0 0 0 0 0 3 6 3 3 3 3 3 3 0 3 0 0 3 0 0 0 0 0 0 0 3 3 0 0 6 6 6 3 6 3 0 6 3 0 0 0 3 0 0 0 0 0 3 6 6 3 6 0 0 6 6 3 0 6 3 6 0 0 0 0 3 0 0 0 3 6 6 6 6 0 6 0 6 6 6 6 3 3 0 0 0 0 0 0 3 0 0 6 6 6 0 3 3 0 6 3 0 3 3 6 0 3 0 0 0 0 0 0 3 0 6 3 0 6 6 3 0 3 0 0 3 3 0 6 6 0 0 0 0 0 0 0 3 3 0 3 6 3 3 6 6 0 0 0 3 0 0 6 generates a code of length 23 over Z9 who´s minimum homogenous weight is 30. Homogenous weight enumerator: w(x)=1x^0+96x^30+274x^33+408x^36+162x^38+564x^39+1296x^41+912x^42+3888x^44+1140x^45+5184x^47+1110x^48+2592x^50+954x^51+602x^54+330x^57+128x^60+36x^63+6x^66 The gray image is a code over GF(3) with n=69, k=9 and d=30. This code was found by Heurico 1.16 in 42.4 seconds.