The generator matrix 1 0 0 0 1 1 1 0 1 1 1 X 0 1 X 1 1 0 1 0 0 1 0 1 1 X X 0 1 X 1 1 1 1 1 0 X 0 1 1 1 0 0 X 1 1 X 1 1 X 1 1 1 1 X 1 X 0 0 1 1 0 1 1 0 1 1 X 0 1 0 0 0 1 1 1 X 0 X+1 1 1 X+1 X X+1 X 1 X 0 1 1 0 0 0 0 1 0 X+1 1 X 1 1 X+1 1 1 1 0 0 1 1 0 X X 1 0 1 X+1 X 0 X+1 X+1 X X+1 X X X 1 1 X+1 X 1 X X X X X 1 0 0 1 0 1 1 0 1 0 X+1 X 0 X+1 1 1 X 0 0 X 1 1 X 0 X+1 X+1 1 X+1 1 X+1 X 0 X+1 1 X+1 0 1 0 1 X+1 X X 1 1 X X 1 X+1 X+1 X+1 X 1 0 1 1 X X 1 0 1 X X+1 0 0 X 1 X X 1 0 0 0 1 1 0 1 1 1 0 X X+1 X X+1 X+1 X 0 X+1 X+1 X+1 X+1 X+1 1 0 X+1 0 X X 0 X 1 0 1 0 1 0 1 X+1 X 1 1 X 1 1 X X+1 X X+1 X 1 0 X 1 X+1 1 X+1 X+1 X X+1 0 X+1 X X X 0 X X 0 0 0 0 0 X 0 0 0 0 X 0 X X 0 X X 0 X X X 0 0 X X X 0 0 0 0 X 0 X X 0 X X X 0 0 0 X 0 0 X X 0 X 0 X X 0 X X X 0 0 X 0 X 0 0 0 X 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X X X X X 0 X X X X 0 X X 0 X 0 X X X 0 0 X X 0 0 X X 0 0 X X 0 0 0 0 0 0 X X 0 X 0 0 X X 0 X 0 0 X 0 0 0 0 0 0 0 X 0 0 0 X 0 0 X 0 X X 0 0 X X X X 0 X X 0 0 0 0 X X 0 X 0 0 0 X X 0 X X 0 X 0 0 X X 0 X 0 X X X X X 0 0 0 X 0 0 0 0 0 X 0 X 0 0 0 0 0 0 0 X 0 0 0 X 0 X X X X 0 0 X 0 X X X X 0 0 X X X X 0 X X X 0 0 0 X 0 0 X X X 0 0 0 0 X 0 0 0 X 0 X 0 X X 0 X 0 0 0 X X X 0 0 generates a code of length 68 over Z2[X]/(X^2) who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+134x^58+334x^60+440x^62+474x^64+529x^66+464x^68+457x^70+429x^72+322x^74+230x^76+138x^78+101x^80+21x^82+12x^84+5x^86+3x^88+2x^90 The gray image is a linear code over GF(2) with n=136, k=12 and d=58. This code was found by Heurico 1.16 in 2.57 seconds.