The generator matrix 1 0 0 1 1 1 0 1 1 1 X X 1 0 X 1 0 1 1 0 1 X 1 1 X 1 0 1 1 0 0 1 1 0 1 0 1 1 1 0 1 1 X X 0 0 1 1 X 0 X 1 X 1 1 1 1 1 1 1 1 1 0 X 1 0 1 0 1 0 0 1 1 1 0 X 1 0 1 X+1 1 X 0 1 X+1 1 1 X 1 0 1 1 0 0 0 X 1 0 1 X+1 1 X 1 X+1 X X 0 X X 1 0 0 1 X+1 X 1 1 X 0 1 X X+1 0 X+1 0 0 0 X X+1 X 1 X 1 0 0 0 1 1 1 0 1 0 1 X+1 1 1 X 0 1 0 X+1 X 1 0 X+1 1 X X+1 0 X 1 1 1 X 1 0 X 0 X+1 X X 0 1 1 X 1 X+1 1 1 1 0 X 0 X 1 0 1 0 0 0 X 0 0 1 1 X+1 1 X+1 X+1 0 0 0 0 0 X 0 0 0 0 0 X X 0 0 X 0 X X 0 X 0 0 X X 0 0 X 0 X X 0 0 X X X 0 X 0 X 0 X X X X X X 0 X X 0 0 0 X X 0 0 0 X X 0 0 0 X X X X 0 0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 0 X X X X X X X X X X X X X 0 0 0 0 0 X 0 0 X X X 0 X X 0 X X 0 0 0 X X X 0 X X X 0 0 0 0 0 0 X 0 0 X X X 0 X 0 0 X X X X 0 0 0 0 0 X 0 X 0 X 0 0 0 0 X 0 X X X 0 0 X 0 0 X X X X X X X X X 0 X X X X 0 0 0 X 0 X 0 0 X X 0 0 0 0 0 0 X 0 X X X 0 0 X 0 X X X 0 X X 0 0 X X X 0 0 X X X 0 X X X 0 X 0 0 X X 0 0 0 0 0 X X X 0 0 X 0 0 0 X 0 X X 0 0 0 0 X 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 X X X X X X 0 0 X X 0 0 X X X X 0 0 0 0 0 0 0 X X 0 0 X X X X 0 0 0 0 0 X X 0 X 0 0 X X X 0 0 X 0 X 0 X 0 generates a code of length 67 over Z2[X]/(X^2) who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+49x^58+66x^59+108x^60+140x^61+160x^62+132x^63+125x^64+144x^65+107x^66+124x^67+127x^68+104x^69+103x^70+134x^71+76x^72+86x^73+47x^74+40x^75+47x^76+34x^77+30x^78+14x^79+22x^80+2x^81+13x^82+2x^83+5x^84+2x^85+3x^86+1x^92 The gray image is a linear code over GF(2) with n=134, k=11 and d=58. This code was found by Heurico 1.16 in 0.662 seconds.