The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 X 1 X 1 1 0 X 0 0 0 0 0 0 0 X X 2X X X X X 0 X X 0 X 0 0 X 0 0 0 0 X 2X 2X 2X X X X X 0 0 X 0 X 0 0 0 0 X 0 0 X 2X 0 2X X X 0 X 0 2X X 0 X X 0 0 0 0 0 X 0 2X 2X X 2X 2X 0 2X X 2X 0 X 0 2X 0 X 0 0 0 0 0 X 2X 2X 2X X 0 X 2X 0 0 2X 0 X 2X 2X 0 generates a code of length 21 over Z3[X]/(X^2) who´s minimum homogenous weight is 33. Homogenous weight enumerator: w(x)=1x^0+106x^33+160x^36+418x^39+778x^42+538x^45+64x^48+88x^51+30x^54+4x^57 The gray image is a linear code over GF(3) with n=63, k=7 and d=33. This code was found by Heurico 1.16 in 0.278 seconds.