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 1 1 1 1 0 1 1 1 1 1 1 X 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 a*X 1 1 1 1 1 1 1 a^5*X 1 1 1 1 1 1 1 1 a*X 1 0 1 1 1 1 1 1 1 1 1 1 a*X 1 X 1 1 X 1 1 1 1 1 1 1 X 1 1 0 1 1 a a^7*X+a^2 a^7*X+2 a^7 0 a a^7 X+a X X X+a a*X a*X+a a*X a^5 a^2*X+a a^3 a^7*X+a^6 a^7*X+1 a^7*X+a^2 a^2*X a^6*X+a^2 a^7*X+2 a^5 a^3 a^7*X+a^6 1 X+a^7 X+a^3 X+a^5 a^6*X+a^6 a^7*X+1 a^6*X+2 1 X+a^3 X+a^7 a^6*X+a^2 a^6*X+1 a^6*X+2 a^6*X+a^6 X+a^5 1 2*X+1 a^5*X+a^6 2*X+a^2 a^5*X+2 a*X+a^3 a*X+a^5 a^2*X+a^7 1 a^2*X+2 a*X+a^6 a^2*X+1 a^5*X+a^2 a^6*X+a^3 a*X+a^5 a^2*X+a^7 1 a^3*X+2 X+a a^6*X+1 a^6*X+a^3 a^2*X+a^2 a^7*X+a^5 a*X+a^7 a^6*X+a^6 1 a^7*X+a^6 1 a^2*X+a a^5*X+1 X+a^3 a^6*X+2 a^2*X a^7*X+a^5 a*X+a a^7*X+1 a*X+a^3 a^5*X+a^6 1 a*X+2 a^7*X 2*X+a^7 a^5*X+a^2 0 a*X+a^7 2*X a^5*X+a^5 a^7*X+a^2 a^3*X+a^7 2*X+1 a^2*X+a^3 1 a^6*X a 0 0 a^7*X a*X a^6*X a^5*X 2*X a^3*X a^2*X a*X 0 a^7*X X 2*X a^2*X X a^6*X a^5*X a^5*X a^3*X a^2*X a^3*X 2*X a^5*X a^7*X a*X 0 X 2*X a^2*X a^6*X a*X a^3*X 0 a^2*X 2*X a^7*X a^6*X a^7*X a^5*X a*X a^2*X X a^6*X X 0 a^3*X a*X X a^5*X X 0 a^6*X a^3*X a^7*X 2*X 0 2*X a^2*X a^3*X a^3*X a^6*X a^7*X a^5*X a^7*X a^2*X a*X X a^5*X a^5*X a^6*X a*X a^3*X a^6*X 0 a^7*X 2*X a^7*X a^6*X X a^2*X a*X 2*X 0 a^3*X a^5*X a^3*X a^6*X a^2*X a*X 2*X X a^6*X a^3*X a^6*X a^5*X a^2*X X generates a code of length 98 over F9[X]/(X^2) who´s minimum homogenous weight is 768. Homogenous weight enumerator: w(x)=1x^0+3168x^768+5544x^769+168x^774+6696x^777+11016x^778+224x^783+5616x^786+7992x^787+336x^792+7848x^795+10440x^796 The gray image is a linear code over GF(9) with n=882, k=5 and d=768. This code was found by Heurico 1.16 in 34.8 seconds.