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 1 1 1 1 X 1 1 1 1 1 1 X 1 1 1 1 1 1 1 a*X 1 1 1 0 1 0 X X a*X a^6*X+1 a^6*X+a^4 a^6*X+a^6 a*X a a^6*X+a^2 a^3 a^5 a^6*X+a^2 a^3 a^6*X+a^6 a^6*X+1 a a^5 a^6*X+a^4 1 X+a a^5*X+1 a^5*X+a^6 a^5*X+a^2 a^5*X+a^4 X+a^5 X+a^3 X+a 1 a^5*X+1 a^5*X+a^2 X+a^5 X+a^3 a^5*X+a^6 a^5*X+a^4 1 a*X+a a^3*X+a^5 a^4*X+a^6 a^4*X+1 a^4*X+a^2 a^3*X+a^3 a^4*X+a^4 1 a^5*X+a X+1 a*X+a 0 0 X a^6*X a^5*X a^2*X a*X a^3*X a^4*X a^3*X a*X a^6*X X 0 a^4*X a*X a^5*X a^2*X a^6*X a^4*X 0 X a^2*X a^3*X X a*X a^4*X X 0 a^5*X a^2*X a^4*X a^2*X a^3*X a^6*X a^2*X a^6*X a*X a^4*X a^5*X a^3*X 0 a^3*X a^5*X a^2*X a^4*X X a^6*X 0 generates a code of length 49 over F8[X]/(X^2) who´s minimum homogenous weight is 332. Homogenous weight enumerator: w(x)=1x^0+3360x^332+1680x^333+1176x^334+210x^336+6720x^340+2016x^341+784x^342+203x^344+11424x^348+3472x^349+1624x^350+77x^352+7x^376+14x^392 The gray image is a linear code over GF(8) with n=392, k=5 and d=332. This code was found by Heurico 1.16 in 0.165 seconds.