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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 X 1 1 1 1 1 1 1 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 0 a*X 0 X 2*X a^6*X a^2*X a^2*X 2*X a^3*X a^5*X a^6*X a^2*X 2*X a^3*X X 0 a^6*X a^3*X a^5*X a^3*X 0 a^2*X a^6*X a^6*X X X a^6*X X a^5*X X a^2*X 2*X a^7*X a^2*X a^5*X a^5*X a^7*X a^3*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 a^5*X 2*X a^2*X 0 0 0 2*X a^2*X 2*X a^2*X a*X a^2*X a^5*X a^2*X a^6*X a*X a^3*X a^7*X 2*X a^7*X a^2*X a^2*X 2*X a^3*X 2*X X a^2*X 2*X X 0 a^5*X a^7*X a^5*X 0 X 0 X X a^6*X a^7*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*X 2*X 0 X a^6*X a^5*X a^6*X 0 a^3*X 2*X a*X a^3*X a^3*X a*X 0 X a^5*X a^6*X a*X a^3*X a^2*X a^5*X a^6*X a^3*X a^3*X 2*X 0 a^5*X a*X 0 2*X a^6*X a^5*X 0 2*X 2*X X X a^3*X a^6*X X 0 generates a code of length 63 over F9[X]/(X^2) who´s minimum homogenous weight is 468. Homogenous weight enumerator: w(x)=1x^0+120x^468+920x^477+1168x^486+648x^488+992x^495+10368x^497+832x^504+41472x^506+744x^513+648x^522+448x^531+344x^540+232x^549+80x^558+32x^567 The gray image is a linear code over GF(9) with n=567, k=5 and d=468. This code was found by Heurico 1.16 in 1.32 seconds.