The generator matrix 1 0 1 1 1 0 1 1 0 1 1 X 1 1 0 1 1 0 1 1 0 1 X 1 1 1 1 0 1 X 1 1 1 1 1 1 X 1 1 0 1 1 X 1 1 1 X 1 1 0 0 X 1 0 1 1 1 1 1 1 X 1 1 0 1 1 0 1 1 0 1 1 X X+1 1 0 X+1 1 X+1 0 1 0 X+1 1 X+1 1 0 X+1 X+1 0 1 X 1 1 0 X X+1 X+1 0 1 0 X+1 1 1 X 1 X+1 1 X 1 1 0 1 1 1 0 1 X+1 X 0 X+1 X+1 0 1 1 X+1 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X X X X X X X X 0 X X 0 X X 0 X X 0 X 0 X 0 0 X X X X X 0 X 0 X 0 X X 0 0 0 X 0 0 X X 0 X X X 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 X X X 0 0 X X X X 0 X X X X 0 X X 0 X X X X X 0 X 0 0 0 X X X 0 X X X 0 0 0 0 0 X 0 0 0 0 0 X 0 0 X X X X 0 X 0 0 0 X X 0 X 0 X 0 X 0 X 0 X X X X 0 X 0 X X 0 0 0 0 0 X X X 0 X X X 0 0 X 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 X X 0 X X X X X 0 0 X X X 0 X 0 0 0 0 0 0 X X X X 0 0 0 0 X X X X 0 0 0 0 0 X 0 X X X X X X X X X 0 0 0 0 0 0 0 X 0 0 X 0 0 X X 0 X X 0 X X X X X X X 0 0 X X X 0 0 0 X 0 X 0 0 0 0 0 X X X 0 0 X X X 0 X 0 0 X X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X 0 0 X X 0 0 X 0 0 0 X X 0 X X 0 X X 0 X 0 X X 0 X 0 X 0 X X X X 0 0 0 X 0 0 0 X X 0 X X 0 0 0 X X 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X 0 X X X 0 0 0 X X 0 X 0 0 X 0 X X 0 X 0 0 X X X X 0 0 X X 0 0 X X 0 0 X 0 0 X X X 0 X 0 X X 0 0 0 generates a code of length 63 over Z2[X]/(X^2) who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+93x^54+212x^56+237x^58+259x^60+261x^62+238x^64+243x^66+229x^68+159x^70+63x^72+11x^74+5x^76+15x^78+13x^80+5x^82+3x^84+1x^88 The gray image is a linear code over GF(2) with n=126, k=11 and d=54. This code was found by Heurico 1.16 in 66.8 seconds.