The generator matrix 1 0 1 1 1 0 1 1 X 1 1 X 1 1 a*X 1 a*X 1 1 1 a^2*X 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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 a^7*X+1 1 X a^7*X+1 1 X a^5*X+1 1 a*X a^6*X+1 1 a*X 1 a^6*X+1 a^2*X a^5*X+1 1 a a^7*X+a^2 a^3 a^7*X+a^6 a^5 a^7 a^7*X+2 a a^3 a^7*X+a^2 a^7*X+a^6 a^7*X+2 a^7 a^5 X+a^3 a^6*X+a^2 X+a^7 a^6*X+2 X+a^5 X+a a^6*X+a^6 X+a^3 X+a^5 a^6*X+2 a^6*X+a^2 X+a^7 a^6*X+a^6 X+a a*X+a^3 a^5*X+a^2 2*X+2 a*X+a a*X+a^5 a^5*X+a^6 a^2*X+a^7 a^2 a*X+a^3 a^3*X+2 a*X+a a^5*X+a^6 a^7*X+a^5 a*X+a^7 a^7*X+a^5 a^5*X+a^2 a^3*X+2 a*X+a^5 a*X+a^7 0 0 a^7*X X a^6*X X a^5*X a^2*X a^5*X a^7*X 0 a^7*X a^2*X a^3*X a^2*X 2*X 2*X a^5*X a^6*X a*X a^6*X X a^6*X X a^2*X a^5*X a^7*X X a^2*X a^6*X a^3*X a*X a^7*X a^5*X a^3*X a^3*X a*X X a*X 0 a*X a^3*X a^2*X a^7*X a^5*X 2*X a*X 2*X 0 0 a^5*X 2*X a^7*X a^2*X a^5*X a^3*X 0 2*X a^6*X a^6*X a^7*X X 0 a^6*X a^2*X a^2*X a*X a^5*X generates a code of length 68 over F9[X]/(X^2) who´s minimum homogenous weight is 531. Homogenous weight enumerator: w(x)=1x^0+160x^531+3240x^532+9000x^533+2016x^534+216x^540+5184x^541+9216x^542+1152x^543+256x^549+9072x^550+16776x^551+2664x^552+72x^558+8x^585+8x^594+8x^603 The gray image is a linear code over GF(9) with n=612, k=5 and d=531. This code was found by Heurico 1.16 in 2.47 seconds.