The generator matrix 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 a*X 1 1 1 1 1 1 1 1 1 a*X 0 1 0 X X a*X a*X a^7*X+1 a^6*X a a^7*X+a^6 a^7*X+a^2 a^5 a^3 a^7*X+2 a^7 a^7*X+1 a^7*X+2 1 a a^3 a^5 a^7*X+a^2 a^7*X+a^6 a^7 a^6*X+1 X+a^5 1 a^6*X+2 X+a X+a^3 a^6*X+a^2 a^6*X+a^6 X+a^7 1 X+a a^6*X+2 X+a^5 a^6*X+1 a^6*X+a^2 X+a^7 a^6*X+a^6 X+a^3 a^5*X+1 a^2*X+2 a*X+a^5 a*X+a 2*X+a^2 a^5*X+a^6 a*X+a^7 1 a^3*X+a^3 a^5*X+1 a^5*X+a^2 a^5*X+2 a^6*X+a^5 a*X+a a^2*X+a^3 a^2*X+a^6 a^6*X+a^7 1 0 0 X a^7*X a^6*X a*X a^2*X a^5*X a^3*X X 2*X a^6*X 2*X a*X a^5*X a^3*X a^2*X 2*X a^3*X a^2*X a^7*X a^5*X 0 a^3*X a*X 0 a^6*X a^7*X X 2*X a^5*X a^3*X a*X a^6*X a^6*X a^6*X a^2*X a^7*X X a*X a^5*X a^6*X a^3*X 2*X 0 X a^7*X 2*X a^2*X 0 a*X X a^7*X a^5*X a*X a^3*X a^3*X 0 a^5*X X a^2*X generates a code of length 61 over F9[X]/(X^2) who´s minimum homogenous weight is 476. Homogenous weight enumerator: w(x)=1x^0+9720x^476+1680x^477+15552x^485+1840x^486+27216x^494+3008x^495+8x^513+8x^540+16x^549 The gray image is a linear code over GF(9) with n=549, k=5 and d=476. This code was found by Heurico 1.16 in 0.427 seconds.