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 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 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 a^6*X a^2*X a^3*X a*X X a^5*X a*X X a^2*X 0 a^7*X a^2*X 0 a^3*X a^3*X a^2*X a^3*X 0 2*X a^5*X a^6*X a^6*X a^6*X a*X 0 a^6*X 0 0 a^5*X 2*X a^3*X a^3*X a^5*X a^6*X a^5*X X a^7*X a^6*X 2*X a^3*X X 2*X X a^5*X a^5*X 0 a^7*X X a^3*X a*X a^3*X a^7*X a^6*X 2*X a^3*X X a^6*X a*X a^6*X a*X X a*X a^6*X 0 X a^7*X 2*X X 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 0 a^7*X a^7*X a^6*X 0 a^5*X X a^6*X 0 a^5*X a*X a^6*X a^2*X a^5*X a^7*X a^7*X a^2*X 2*X a^6*X a^5*X a^7*X 2*X a^7*X a^2*X a*X a^2*X a^5*X X X a^5*X 0 a*X X a^6*X a^7*X a^3*X 0 0 a^2*X a^2*X a*X 2*X a^7*X 2*X a^5*X a^3*X a^3*X a^7*X a^5*X X 0 a^3*X X a^2*X a^6*X a*X a^2*X a^2*X a*X 2*X a^7*X a*X a^3*X a^2*X a*X a^7*X X a^3*X 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 a^6*X 0 2*X a^7*X 2*X X a^3*X 2*X a^3*X 2*X a^7*X X X X 0 a*X a*X X a^3*X a^2*X a^3*X a*X a*X a^5*X a*X a^3*X a^2*X a^6*X a*X X a^2*X a^2*X a^2*X a^3*X 0 2*X a^2*X X a^5*X X a^7*X 0 2*X 2*X 2*X a^3*X a^5*X a*X a^5*X a^7*X 0 a^7*X 0 a^6*X a^6*X a^2*X a*X a^2*X a^2*X 2*X 0 a^7*X 2*X a^7*X a^6*X a^3*X 0 0 generates a code of length 85 over F9[X]/(X^2) who´s minimum homogenous weight is 648. Homogenous weight enumerator: w(x)=1x^0+752x^648+984x^657+1064x^666+5832x^672+1000x^675+46656x^681+576x^684+624x^693+456x^702+392x^711+328x^720+192x^729+112x^738+48x^747+32x^756 The gray image is a linear code over GF(9) with n=765, k=5 and d=648. This code was found by Heurico 1.16 in 1.83 seconds.