The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 0 X 0 0 X X a*X a^3*X 0 2*X a^2*X X a^2*X a*X a^2*X a^5*X a*X X a*X 2*X a^6*X a^2*X a*X 0 2*X a^5*X a^6*X a^7*X X a^2*X a*X 0 0 0 X 0 a^7*X a^6*X a*X 2*X X a^6*X a^6*X X a^3*X X a^5*X X a^2*X a^6*X a^5*X a^6*X a^5*X a^7*X X a^5*X a^7*X a^6*X 2*X 2*X X a^2*X a^3*X 0 0 0 0 X a^7*X X a^5*X a*X a*X a^7*X 2*X a^7*X a^3*X a^2*X 2*X a^3*X a^6*X 2*X X a^6*X a^6*X a^5*X a^3*X 2*X a^5*X X 2*X a^3*X 2*X a^3*X a^7*X X generates a code of length 32 over F9[X]/(X^2) who´s minimum homogenous weight is 225. Homogenous weight enumerator: w(x)=1x^0+208x^225+976x^234+976x^243+5832x^248+1176x^252+46656x^257+1152x^261+1048x^270+848x^279+176x^288 The gray image is a linear code over GF(9) with n=288, k=5 and d=225. This code was found by Heurico 1.16 in 0.593 seconds.