The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 9 0 0 0 0 0 0 0 0 9 9 9 9 18 18 18 9 18 0 18 0 0 9 0 0 0 0 0 9 9 18 18 9 18 0 18 0 18 18 0 0 0 0 0 9 0 0 0 9 18 18 18 9 9 18 0 0 18 0 9 18 0 0 0 0 0 9 0 0 18 18 9 9 0 9 9 9 0 18 9 9 18 9 0 0 0 0 0 9 0 18 9 18 9 18 0 0 18 9 18 18 9 9 18 0 0 0 0 0 0 9 9 0 9 0 9 18 18 9 0 0 18 18 18 0 generates a code of length 21 over Z27 who´s minimum homogenous weight is 30. Homogenous weight enumerator: w(x)=1x^0+126x^30+222x^33+214x^36+294x^39+17856x^42+396x^45+330x^48+162x^51+62x^54+6x^57+12x^60+2x^63 The gray image is a code over GF(3) with n=189, k=9 and d=90. This code was found by Heurico 1.16 in 20.8 seconds.