The generator matrix 1 0 1 1 1 0 1 1 0 1 1 X 1 1 0 1 1 0 1 X 1 1 1 0 1 1 1 1 0 X 1 1 1 0 X 1 X 1 1 0 1 1 1 0 1 1 X 1 X 0 1 1 1 X 1 1 1 1 0 0 0 1 1 1 X 0 1 1 0 1 1 0 1 1 X X+1 1 0 X+1 1 X+1 0 1 X+1 1 X X+1 0 1 0 X+1 0 X 1 1 X+1 X+1 1 1 1 X+1 1 X+1 1 1 X X 0 1 X+1 0 1 1 1 1 0 X+1 0 1 X+1 X+1 1 X 1 1 1 0 1 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X X 0 X X X X X X X X 0 X X X X 0 X 0 X X X X 0 X X X 0 X X 0 0 X X 0 0 X X X 0 0 X X X 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 X 0 0 X X X X X X 0 X 0 X X 0 X 0 X X 0 0 0 X X X X 0 0 0 X X 0 X X 0 0 X 0 0 X 0 0 X X X X 0 0 0 0 X 0 0 0 0 0 X 0 0 X X X X X X 0 X X 0 X X X X X 0 X 0 X X 0 0 X X X X 0 0 0 X 0 0 0 X X X 0 X 0 0 0 0 X X 0 X 0 X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 X X 0 X X X X X X 0 0 0 0 0 0 0 X X X X X 0 0 X 0 0 0 0 X X X X 0 X 0 0 0 X X 0 X 0 0 X X X X 0 X 0 X 0 0 0 0 0 0 0 X 0 0 X 0 0 X X 0 X X X 0 X 0 X X 0 0 0 X X 0 X 0 0 X 0 0 0 X 0 X X X X 0 X 0 X X X X X 0 X 0 X 0 X X X 0 X X 0 X 0 X 0 0 0 0 0 0 0 X 0 0 X 0 X 0 0 X X X X X 0 0 0 0 X 0 X 0 0 X 0 0 X X X X 0 X 0 X 0 X X X X X X X 0 0 0 X 0 0 X 0 X 0 X X X X X X X 0 0 0 0 0 0 0 0 X 0 0 X 0 X 0 X X X 0 X X 0 0 X 0 X X X X X X 0 0 0 X X X 0 0 X X 0 0 0 0 0 0 X X 0 0 0 X X X 0 X 0 0 X X X 0 X 0 generates a code of length 65 over Z2[X]/(X^2) who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+152x^56+88x^58+372x^60+132x^62+373x^64+148x^66+338x^68+108x^70+214x^72+36x^74+52x^76+22x^80+6x^84+6x^88 The gray image is a linear code over GF(2) with n=130, k=11 and d=56. This code was found by Heurico 1.16 in 0.79 seconds.