The generator matrix 1 0 1 1 1 1 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 1 X 1 1 1 1 1 1 1 1 a^2*X 1 1 1 1 a^5*X 1 1 1 1 1 1 1 1 1 0 1 0 X X a*X a*X a^7*X+1 a^3 a^7*X+a^2 a^6*X a a^7*X+a^6 a^7*X+2 a^5 a^7 a^7*X+1 a a^3 a^7*X+a^2 a^5 a^7*X+a^6 1 a^7*X+2 a^7 X+a^3 a^6*X+a^6 a^6*X+1 X+a a^6*X+2 a^6*X+a^2 1 X+a^5 X+a^7 X+a X+a^3 a^6*X+a^2 a^6*X+1 a^6*X+2 1 a^6*X+a^6 X+a^5 X+a^7 2*X+2 2*X+a a^3*X+a^6 a*X+a^7 a*X+a^3 1 a^5*X+1 a^2*X+a^2 a^3*X+a^5 a^2*X+2 1 a^5*X+a^3 2*X+a a*X+a^5 a^5*X+a^6 a^5*X+1 a^2*X+a^2 2*X+a^7 2 a*X+a^3 0 0 X a^7*X a^6*X a*X a^2*X a^5*X a^3*X 2*X a^3*X X 2*X a*X a^5*X a^6*X 0 a^7*X a^5*X a^6*X 2*X a^3*X a^2*X 2*X a^3*X a^7*X 0 a*X a^2*X a^5*X a*X a^3*X X X a^5*X a*X a^2*X a^2*X a^7*X a^5*X a^5*X a^2*X a^7*X X 2*X a^6*X a*X a^6*X a^6*X 2*X 0 a^6*X a^2*X a^7*X 0 a^6*X a^7*X a*X X a^3*X a^5*X 0 X generates a code of length 63 over F9[X]/(X^2) who´s minimum homogenous weight is 492. Homogenous weight enumerator: w(x)=1x^0+7560x^492+4536x^493+216x^495+12096x^501+4536x^502+376x^504+21168x^510+8424x^511+112x^513+8x^558+16x^567 The gray image is a linear code over GF(9) with n=567, k=5 and d=492. This code was found by Heurico 1.16 in 0.446 seconds.