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 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 2*X 1 1 1 1 1 0 1 1 2*X 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 X 1 1 1 1 1 a^6*X X 1 0 1 1 a a^7*X+a^2 a^7*X+2 a^7 0 X a^5 X a^3 a^7*X+a^6 a*X a^7*X+2 a^7 a*X X+a^7 a X+a^7 a*X+a^7 2*X+a^7 a^5 a^7*X+a^6 a^2*X 1 a^7*X+a^2 a^7*X+1 a^3 X+a^5 a^6*X+2 X+a^5 a^6*X+a^6 X+a a^6*X+2 a^7*X+1 a^6*X+a^2 X+a^3 1 a^5*X+2 a*X+a^5 a^6*X+1 X+a^3 X+a a^6*X+a^2 1 a^6*X+a^6 2*X+2 a*X+a^5 a^6*X+1 a^2*X+a a^5*X+a^2 a*X+a^3 a^5*X+a^6 1 a^5*X+1 a*X+a a^2 a^2*X+a^3 a^5*X+a^6 1 a*X+a^5 a*X+a^7 1 a^5*X+a^2 2*X+a^6 a^7*X+1 a*X+a 2*X+a^3 a^2*X+a^5 a^5*X+2 a^2 a^5*X+1 a^2*X+a a^2*X+a^3 a^7*X+2 a^3*X+a^7 a^7*X a*X a^7*X+a^6 1 a^2*X a^2*X+2 a^2*X+a^5 a^2*X+a^7 X+a^3 1 a^2*X a^6*X+1 0 0 a^7*X a*X a^6*X a^5*X 2*X a^3*X a^5*X X a*X X a^6*X a^7*X a^2*X a^3*X X a^6*X a^2*X a*X a^2*X 0 a^5*X a^7*X a^2*X a^7*X 2*X a^3*X a^7*X 0 2*X a^3*X 2*X a^7*X X 0 a^7*X a^5*X a^3*X a^6*X 2*X a^6*X 0 a^3*X a^2*X a^5*X a^5*X a*X a^6*X a^2*X X a^5*X 2*X a^3*X a^6*X a^5*X 2*X 0 a*X a^2*X X a*X X 2*X a^3*X a*X X a^6*X a^2*X a^7*X 0 a*X 2*X 0 a^3*X a^7*X a^5*X a^3*X a^6*X X a*X 2*X a^3*X a^2*X a^7*X a^6*X a^2*X 0 a*X generates a code of length 89 over F9[X]/(X^2) who´s minimum homogenous weight is 695. Homogenous weight enumerator: w(x)=1x^0+3096x^695+3528x^696+504x^702+4320x^704+12096x^705+216x^711+5400x^713+10584x^714+4680x^722+14616x^723+8x^729 The gray image is a linear code over GF(9) with n=801, k=5 and d=695. This code was found by Heurico 1.16 in 12.1 seconds.