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 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 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 generates a code of length 94 over F8[X]/(X^2) who´s minimum homogenous weight is 648. Homogenous weight enumerator: w(x)=1x^0+98x^648+343x^656+3584x^658+7x^672+14x^680+42x^688+7x^752 The gray image is a linear code over GF(8) with n=752, k=4 and d=648. This code was found by Heurico 1.16 in 0.148 seconds.