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 1 1 1 X 1 1 1 1 1 1 1 1 1 X 1 X 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 a^6*X X X a^5*X a^2*X 0 a^6*X a^6*X a^5*X a^5*X a^7*X a*X X a^7*X X a^5*X 2*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 2*X a^2*X X 0 a^7*X 0 2*X a^2*X 0 2*X a^3*X a^7*X X 0 a^3*X X a^3*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*X a^5*X 0 2*X a^5*X a^5*X 0 a^6*X X X a^2*X a^5*X a^3*X a^7*X a^7*X a^2*X 0 a*X generates a code of length 66 over F9[X]/(X^2) who´s minimum homogenous weight is 495. Homogenous weight enumerator: w(x)=1x^0+328x^495+1168x^504+2912x^513+14704x^522+37664x^531+776x^540+456x^549+464x^558+344x^567+160x^576+40x^585+32x^594 The gray image is a linear code over GF(9) with n=594, k=5 and d=495. This code was found by Heurico 1.16 in 1.4 seconds.