The generator matrix 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 a*X 1 1 1 1 1 1 1 1 a^2*X 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 a^3*X a^4*X 1 1 1 1 1 1 1 1 1 1 1 1 0 1 a^6*X+1 a a^6*X+a^2 a^3 a^6*X+a^4 a^5 a^6*X+a^6 X a^5*X+1 X+a a^5*X+a^2 X+a^3 a^5*X+a^4 X+a^5 a^5*X+a^6 1 a*X a^4*X+1 a*X+a a^4*X+a^2 a*X+a^3 a^4*X+a^4 a*X+a^5 a^4*X+a^6 1 a^2*X a^3*X+1 a^2*X+a a^3*X+a^2 a^2*X+a^3 a^3*X+a^4 a^2*X+a^5 a^3*X+a^6 1 a^3*X a^2*X+1 a^3*X+a a^6*X+a^2 a^3 a^6*X+a^4 a^3*X+a^5 a^5*X+a^2 X+a^3 a^5*X+a^4 a^2*X+a^6 a^2*X+a^2 a^3*X+a^3 a^2*X+a^4 a^4*X a*X+1 a^4*X+a a^4*X+a^5 a*X+a^6 a^5*X X+1 a^5*X+a a^5*X+a^5 a*X+a^2 a^4*X+a^3 a*X+a^4 X+a^6 a^6*X 1 a^6*X+a a^6*X+a^5 a^6 X+a^2 a^5*X+a^3 X+a^4 a^2 a^6*X+a^3 a^4 0 X a^6*X+1 a^5*X+1 a X+a 1 1 a*X a^4*X+1 a*X+a a^4*X+a^2 a*X+a^3 a^4*X+a^4 a^2*X a^3*X+1 a^2*X+a a^3*X+a^2 a^2*X+a^3 a^3*X+a^4 generates a code of length 94 over F8[X]/(X^2) who´s minimum homogenous weight is 654. Homogenous weight enumerator: w(x)=1x^0+1344x^654+378x^656+896x^658+1344x^662+112x^664+14x^688+7x^704 The gray image is a linear code over GF(8) with n=752, k=4 and d=654. This code was found by Heurico 1.16 in 88.5 seconds.