The generator matrix 1 0 0 0 0 0 0 1 1 1 0 1 X 1 1 0 1 0 X X 1 1 1 1 1 1 1 0 X X 1 0 0 X 0 1 X X 1 1 X 1 0 1 1 X X 0 0 X X 1 0 1 1 X 1 1 X 1 X 1 1 1 1 1 X 1 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 X X X 1 1 1 1 X+1 X+1 X+1 1 1 X+1 0 1 1 X 1 1 1 X X+1 X X 0 X+1 1 1 0 X 0 1 X 1 X 0 1 0 1 1 1 0 0 1 1 X X X+1 1 0 1 1 X X 1 1 X 0 0 1 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 0 0 X X X X X X 0 X 0 X 0 0 X 1 1 1 1 X+1 1 1 1 X+1 X+1 X+1 1 X+1 1 1 1 1 X+1 1 1 1 X+1 1 1 X+1 1 X X+1 X+1 0 X 1 X X 0 X 0 0 0 1 0 0 0 0 0 X X 1 1 X+1 X+1 1 1 1 X+1 X X 1 X+1 X X 1 X+1 1 X+1 X 0 X+1 X 0 X X 1 X+1 X+1 X 1 0 0 X X X X+1 0 X 0 0 1 X 0 0 1 X+1 0 X+1 1 1 X+1 1 0 X 1 0 X X X+1 1 0 0 0 0 1 0 0 X 1 X+1 1 0 1 1 1 X+1 X X+1 0 0 X X 0 X 1 1 1 0 X X+1 0 X+1 1 0 X 1 0 0 X+1 1 X 1 X+1 0 0 X X X+1 X 1 1 X+1 1 X X 0 X 0 1 1 1 X+1 X+1 X X 1 X+1 1 1 0 1 0 0 0 0 0 1 0 X+1 1 0 1 X X+1 X+1 0 X X+1 1 X+1 1 X+1 1 X X 0 1 0 X+1 X 1 X+1 X+1 X 0 X X+1 X+1 X 0 X 1 X+1 1 0 X+1 1 0 1 0 0 X X X+1 0 X X X 1 0 1 1 0 1 X 1 X+1 X 0 X X+1 X+1 0 0 0 0 0 0 1 1 X 1 1 X+1 X 1 X 1 X X+1 X X+1 X X+1 0 1 X 0 X+1 1 X+1 0 1 1 X+1 X 1 X+1 X 1 X+1 X+1 1 0 0 1 0 0 1 X+1 1 0 X+1 0 X X+1 1 0 X+1 1 X X 0 X+1 X+1 X X+1 0 1 0 1 X X+1 generates a code of length 71 over Z2[X]/(X^2) who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+77x^58+178x^59+250x^60+326x^61+502x^62+536x^63+727x^64+724x^65+680x^66+870x^67+919x^68+950x^69+928x^70+1050x^71+970x^72+992x^73+883x^74+836x^75+830x^76+732x^77+645x^78+482x^79+410x^80+302x^81+224x^82+124x^83+97x^84+64x^85+27x^86+20x^87+20x^88+6x^89+1x^102+1x^110 The gray image is a linear code over GF(2) with n=142, k=14 and d=58. This code was found by Heurico 1.16 in 80.9 seconds.