The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 a^6*X 1 1 1 1 1 1 0 1 0 1 a a^2 a^6*X+a^3 a^6*X+a^4 a^5 a^6 a^6*X a^6*X+1 X+a X+a^2 1 a^6*X+a^5 X a^5*X+1 a^5*X+a^3 a^6*X+a^2 a^6*X+a 0 0 1 a^6 a a^4 1 a^5 a^3 a^2 a^3*X+1 a*X+a^5 a^6*X a^5*X+a^2 X+a^6 X+1 a^5*X+a^3 a^6*X+a a^5*X+a^6 a^5*X a*X+a^2 generates a code of length 21 over F8[X]/(X^2) who´s minimum homogenous weight is 133. Homogenous weight enumerator: w(x)=1x^0+504x^133+5544x^134+5712x^135+119x^136+1792x^140+7056x^141+33264x^142+19040x^143+231x^144+35840x^147+12544x^148+24696x^149+79464x^150+36176x^151+63x^152+28x^160+70x^168 The gray image is a linear code over GF(8) with n=168, k=6 and d=133. This code was found by Heurico 1.16 in 2.95 seconds.