The generator matrix 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 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 1 1 1 1 1 1 1 0 X 0 X a*X a*X a^5*X a^5*X a^6*X a^6*X 0 X a*X a^2*X a^5*X a^2*X 0 a^2*X a^6*X X a^6*X a*X a^2*X a^5*X a^4*X a^4*X a^4*X a^4*X 0 X a*X 0 X a*X a^2*X a^4*X a^5*X a^6*X a^2*X a^5*X X a^4*X a^6*X 0 a*X a^2*X a^4*X a^5*X a^6*X 0 X a*X a^2*X a^4*X a^5*X a^6*X a^3*X a^3*X a^3*X a^3*X a^3*X a^3*X a^3*X a^3*X 0 0 X X a*X a*X a^3*X a^3*X a^6*X a^6*X 0 X a*X a^3*X a^6*X 0 X a^4*X a^4*X a*X a^4*X a^3*X a^4*X a^6*X a^5*X a^5*X a^5*X a^5*X 0 X a*X 0 0 X a^6*X a^2*X a^4*X X a^2*X a^6*X a^4*X a*X a^4*X a*X a*X a^3*X a^3*X a^3*X a^6*X a*X a^3*X X 0 a^2*X a^4*X a^6*X a^2*X X 0 a^2*X a*X a^6*X a^4*X X a^3*X a^5*X a^5*X a^5*X a^5*X a^4*X 0 a^5*X a*X a^2*X a^5*X X 0 a^4*X a^6*X a^3*X a^6*X a^2*X a^5*X X a^3*X a*X 0 0 X a*X a^2*X a^3*X a^4*X a^5*X a^6*X 0 X a^6*X a^5*X 0 a^2*X X a^5*X a^6*X a^2*X a*X a^4*X a^4*X a^2*X 0 a^6*X X a^5*X a^2*X a^6*X a*X a^4*X 0 a*X X a*X a^4*X a^5*X a^2*X a*X a^3*X generates a code of length 95 over F8[X]/(X^2) who´s minimum homogenous weight is 656. Homogenous weight enumerator: w(x)=1x^0+147x^656+294x^664+3584x^665+7x^672+21x^688+35x^696+7x^760 The gray image is a linear code over GF(8) with n=760, k=4 and d=656. This code was found by Heurico 1.16 in 0.153 seconds.