The generator matrix 1 0 1 1 1 1 0 X X a*X 1 a*X 1 a^6*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 0 1 0 X X a*X 1 1 1 1 a*X 1 a^6*X 1 a^7*X+1 a a^7*X+a^2 a^3 a^7*X+2 a^5 a^7*X+a^6 a^7 a a^7*X+1 a^5 a^7*X+2 a^7*X+a^6 a^3 a^7*X+a^2 a^7 X+a X+a^3 X+a^5 a^6*X+a^6 a^6*X+1 a^6*X+2 X+a^7 a^6*X+a^2 a^6*X+a^6 X+a^7 X+a^5 X+a a^6*X+1 a^6*X+2 X+a^3 a^6*X+a^2 a*X+a^5 a*X+a a^2*X+a^7 a^5*X+1 a^2*X+a^3 2*X+a^2 2*X+2 a^2*X+a^6 1 a^5*X+a^6 2*X+a^2 2*X+2 1 a*X+a 0 0 X a^7*X a^6*X a*X X a^7*X a^6*X a*X a^2*X a^2*X a^3*X a^3*X a^7*X 0 a^5*X a*X a^6*X a^5*X a^7*X a*X a^2*X a^5*X 2*X 2*X 2*X X 0 2*X X a^6*X a^2*X a^6*X a^3*X a^2*X a^7*X a^3*X a*X a^5*X a^7*X a^6*X X a^5*X a^2*X a^6*X a^3*X a^5*X a^3*X 2*X a^7*X a*X X a^3*X 0 0 X a*X a^2*X a^3*X generates a code of length 60 over F9[X]/(X^2) who´s minimum homogenous weight is 467. Homogenous weight enumerator: w(x)=1x^0+2160x^467+4440x^468+4536x^469+5400x^476+7304x^477+4536x^478+9936x^485+12232x^486+8424x^487+48x^495+8x^504+8x^531+16x^540 The gray image is a linear code over GF(9) with n=540, k=5 and d=467. This code was found by Heurico 1.16 in 0.426 seconds.