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 1 1 1 1 1 0 1 1 1 X 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 a*X 1 1 1 1 1 1 a^7*X 1 1 1 1 1 a*X 1 a^7*X 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 X 1 a^5*X 1 1 1 1 1 1 1 0 1 1 a a^7*X+a^2 a^7*X+2 a^7 0 a a^7 a^3 X X+a X X+a 2*X+a a^5 a*X a^6*X+a a^7*X+a^6 2*X X+a^7 X+a^7 a*X+a^7 a^2*X+a^7 a^2*X+a^7 a^6*X+a a^6*X a^3 a*X+a^7 a^7*X+a^2 a^7*X+2 a^7*X+1 a^5 1 a^7*X+a^6 X+a^5 X+a^3 1 a^6*X+2 a^6*X+a^2 a^6*X+a^6 a^7*X+1 X+a^5 X+a^3 1 a^6*X+2 a^2*X+a^5 a^6*X+a^2 a^6*X+1 a^6*X+a^6 2*X+2 a^2*X+a^3 a^6*X+1 a^2*X+a^2 a^2*X+a^6 1 a^3*X+a^5 a^5*X+1 2*X+2 a^2*X+a^6 a*X+a^3 a^2*X+a^2 1 a^6*X+2 X+a^2 a^2*X+a^5 a^5*X+1 a*X+a^6 1 a^3 1 0 a 2*X+a^3 a^2*X+2 a^6*X+1 a^6*X a^5*X+2 a^5*X+a^2 X+a^5 a^5*X+a^6 a^6*X a^6*X+a a^5*X+a^2 X+a^3 a^3*X+a^6 a^5*X+1 a^5 a^2*X a^7 1 a*X a^2*X+1 X+a 2*X+a^2 2*X+a^3 a^3*X+a^5 X+a^7 0 0 a^7*X a*X a^6*X a^5*X 2*X a^3*X a^2*X a*X a^2*X 2*X a^7*X a^5*X a^3*X a^6*X X a*X X 2*X a^2*X a^3*X X 0 a^6*X a^2*X 2*X X a^7*X a^5*X a^7*X a^6*X a^3*X 0 a^5*X a^5*X a^7*X a*X 2*X 2*X 0 a^6*X 0 a^5*X X X a^2*X a^6*X X a*X 0 a^3*X a^6*X a^2*X a^5*X a^3*X a^6*X a*X a^5*X X a*X 2*X a^2*X a^2*X 0 2*X a^3*X X a^7*X a^7*X 0 a*X a^7*X a^5*X a^3*X a*X 2*X a^6*X a^7*X a*X a^2*X X a*X 0 a^3*X a^5*X a^2*X a^6*X 2*X a*X a^7*X a^3*X 2*X a^3*X a*X a^7*X a^6*X a^7*X 2*X generates a code of length 99 over F9[X]/(X^2) who´s minimum homogenous weight is 776. Homogenous weight enumerator: w(x)=1x^0+2304x^776+6264x^777+224x^783+5400x^785+13464x^786+192x^792+3672x^794+8712x^795+312x^801+6120x^803+12384x^804 The gray image is a linear code over GF(9) with n=891, k=5 and d=776. This code was found by Heurico 1.16 in 72.4 seconds.