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 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 0 a^7*X a^6*X 0 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 a*X X 2*X 2*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*X a^3*X 0 a^2*X 0 generates a code of length 64 over F9[X]/(X^2) who´s minimum homogenous weight is 477. Homogenous weight enumerator: w(x)=1x^0+216x^477+928x^486+1160x^495+648x^496+1008x^504+10368x^505+880x^513+41472x^514+664x^522+592x^531+456x^540+328x^549+224x^558+72x^567+32x^576 The gray image is a linear code over GF(9) with n=576, k=5 and d=477. This code was found by Heurico 1.16 in 1.34 seconds.