The generator matrix 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 X 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 a*X 1 1 1 1 1 1 1 1 a*X 1 1 1 1 1 1 1 a^4*X 1 1 1 1 1 1 1 1 1 a^4*X 1 1 1 X 1 1 1 0 1 1 1 a^3*X 1 1 a^3*X 1 1 1 1 1 a^4*X 1 0 1 1 a a^6*X+a^2 a^3 a^6*X+a^4 a^5 a^6*X+a^6 0 a^6*X+1 a a^6*X+a^2 a^6*X+a^4 a^6*X+a^6 a^3 a^5 X X a^4*X a^5*X+a^6 1 a^5*X+a^6 a^6*X X+a^3 a^6*X+1 1 a^4*X+a^6 a^4*X+a^6 a^6 a^5*X+a^2 X+a a^5*X+1 a^5*X+a^4 X+a^5 a^5*X+1 1 a^5*X+a^4 X+a X+a^5 X+a^3 a^5*X+a^2 a^3*X+a^4 1 a^2*X+a a^2*X+a^2 a^2*X+a^3 a*X+a^5 a^2*X+a^4 a^2*X+a^2 a^3*X+a^3 a^6*X+a^5 1 a^6*X+1 a a^4*X a^3*X+a^2 a^2*X+a^3 a^3*X+a^4 a*X+a^5 1 a^3*X+1 a^6*X+a a^3*X+1 a^2*X+a a^6*X a^3*X+a^2 a^3*X+a^3 a^2*X+a^4 a^6*X+a^5 1 a^6 1 a^6*X+a a^4*X a^3 a^4*X+a^4 a^5 1 X+a^3 X+a^4 a^3*X+a^5 1 a^2*X+a a^5*X+1 1 a*X+a^5 a^4 a^4*X+a^3 a*X+1 a^6*X+a 1 a^4*X+1 0 0 a^6*X a*X X 0 a^3*X a^5*X a^4*X a^2*X a*X a^4*X a^3*X X a^6*X a^5*X a^2*X a^6*X a^5*X X a^2*X a*X a*X a^3*X a^4*X 0 a^3*X a^5*X a^3*X 0 0 X a^4*X a^5*X a^3*X X a^5*X a*X a^3*X a*X a^2*X a^6*X a^4*X a^2*X 0 a^4*X X a^6*X a^2*X a*X a^6*X X X a^5*X a^2*X a^4*X a^2*X a*X a^6*X 0 a^6*X a^3*X a^5*X 0 a*X a*X a^5*X a^3*X 0 a^4*X a^4*X X a^2*X a^6*X a^5*X a*X 0 X a^3*X a^3*X X 0 a^5*X a^3*X a^6*X a^6*X a^3*X a^6*X a^6*X X X a*X a^4*X generates a code of length 93 over F8[X]/(X^2) who´s minimum homogenous weight is 639. Homogenous weight enumerator: w(x)=1x^0+3080x^639+1932x^640+6048x^644+4872x^647+2996x^648+2520x^655+686x^656+4704x^660+3864x^663+1988x^664+77x^672 The gray image is a linear code over GF(8) with n=744, k=5 and d=639. This code was found by Heurico 1.16 in 86.8 seconds.