The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X X 0 1 1 1 1 0 1 X 1 X 1 0 X X 1 1 X 0 1 1 1 1 X 1 0 0 1 1 1 0 0 1 1 0 0 0 1 1 X 0 1 X X 1 1 1 X 1 1 0 1 0 X X 0 X X 0 1 0 0 0 1 1 1 0 0 X+1 X+1 1 X 1 X X+1 0 1 1 0 1 X X 0 1 1 X X+1 1 0 1 X 0 X 1 1 X+1 0 1 1 1 0 X 1 1 1 X 1 1 X 0 1 0 X 1 1 X+1 X+1 X 1 0 X+1 0 X+1 0 1 1 X 0 0 0 0 1 0 1 1 0 1 0 1 1 0 0 1 X+1 X+1 X 0 1 X+1 X+1 X 0 1 0 X X 0 0 1 1 X 1 1 1 X 1 1 1 X X 1 X 0 0 0 1 1 0 X 0 0 0 1 X X+1 0 X 1 0 X+1 1 0 X 1 1 0 1 1 1 0 0 0 0 1 1 0 1 1 1 0 1 X 1 1 0 X 1 X+1 X X+1 1 1 0 0 X+1 X 0 1 1 0 0 X 0 X+1 X+1 0 0 1 X+1 1 X X+1 0 1 1 1 X+1 X+1 X X+1 1 X+1 X X X 0 X X X X 0 X X+1 1 0 X+1 X+1 X X+1 0 1 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X 0 X 0 X X 0 X 0 0 X 0 X 0 X 0 X X 0 X 0 0 X 0 X 0 0 X X X X X 0 X 0 0 X X 0 X X X X X 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 X X 0 X X X 0 X 0 X X X X X 0 X X X X 0 X 0 X X 0 0 0 X 0 X 0 X X X X X 0 0 0 0 X X 0 X X X X X 0 0 0 0 0 X X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X X X X X 0 X X 0 X X X 0 X X X 0 X X 0 X 0 X X 0 0 0 0 0 0 0 0 X 0 0 X X 0 0 X 0 0 X X 0 X 0 0 X 0 X X 0 X X X X 0 X 0 0 X 0 X X 0 X 0 0 X 0 0 0 0 X X 0 X X X 0 X 0 0 0 0 X 0 X 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 X 0 X 0 0 0 0 X 0 0 0 0 X X X X 0 X 0 X X X 0 0 0 X 0 X 0 0 X 0 X 0 X 0 0 0 X X 0 X 0 X X 0 0 X 0 X X 0 0 X 0 0 0 X X X X 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 0 X 0 0 X 0 X X X X 0 X X X 0 0 X X 0 X X X 0 X 0 X X 0 X 0 X X X X X 0 0 X X X X X X 0 0 X X 0 X X X X X X 0 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+176x^58+555x^60+912x^62+1123x^64+1538x^66+1876x^68+1958x^70+2073x^72+1917x^74+1605x^76+1172x^78+771x^80+420x^82+154x^84+83x^86+28x^88+13x^90+2x^92+2x^94+3x^96+1x^102+1x^104 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 84.9 seconds.