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 X X X 1 X X 1 X X 1 1 1 X X 1 0 1 X 1 X 1 1 X X 1 1 1 1 X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X 0 0 X X X 0 X X X 0 X 0 X 0 X 0 0 X X X 0 X X 0 X 0 X 0 0 X 0 0 X 0 0 X 0 0 X X 0 X X X 0 X 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 X X X X X X 0 0 0 0 0 X X X X X 0 X 0 X X X 0 0 X 0 0 0 0 X X 0 X 0 0 0 X 0 0 X X X 0 0 X 0 X 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X X X 0 X X X 0 X X X 0 X 0 0 X X X 0 0 X 0 0 0 0 X X 0 0 X 0 0 X 0 0 0 X 0 X 0 0 0 X X 0 0 X 0 0 X 0 X 0 0 0 0 0 X 0 0 0 0 0 0 X 0 X X 0 X X X 0 X X X 0 0 0 0 0 X 0 0 0 X X X X 0 0 0 X X X 0 X X 0 0 X X 0 0 X X X 0 0 0 X 0 0 X X X 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 X 0 0 X X X X X 0 0 X 0 0 X X 0 0 0 X X 0 0 X 0 0 X 0 X X X 0 X 0 0 X X X X 0 X X X 0 X 0 0 0 X 0 X X X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 X X 0 0 X 0 0 X X 0 X 0 X 0 X 0 X 0 X 0 X 0 0 X X X 0 0 X 0 X 0 X X 0 0 X X 0 0 X X X X X X X 0 0 X X 0 X 0 0 0 0 0 0 0 X 0 0 X 0 0 X 0 0 X 0 0 X 0 X X 0 0 X X X 0 0 X X X 0 0 X X 0 0 X X 0 X 0 X 0 X 0 0 0 X 0 0 X 0 0 X 0 0 X X X X 0 X X X 0 0 0 0 0 0 0 0 X 0 X X X X 0 0 0 0 X 0 0 0 X X X X 0 0 0 X 0 X 0 0 0 X 0 X X 0 X X 0 X X X X 0 0 X 0 0 X X X X X 0 0 X 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X 0 0 X X X X X 0 X 0 X 0 X 0 X X 0 0 X X X X X X X X 0 0 X X 0 X X X 0 0 X X X 0 0 X 0 0 0 X X 0 X X X X X 0 generates a code of length 67 over Z2[X]/(X^2) who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+125x^56+10x^58+264x^60+84x^62+333x^64+228x^66+336x^68+152x^70+247x^72+34x^74+120x^76+4x^78+70x^80+32x^84+7x^88+1x^104 The gray image is a linear code over GF(2) with n=134, k=11 and d=56. This code was found by Heurico 1.16 in 1.06 seconds.