The generator matrix 1 0 0 1 1 1 0 1 1 1 1 X X 0 1 1 X 1 0 1 X 1 1 1 0 1 X 0 1 1 0 0 1 1 X X 1 X 0 1 1 1 1 X 0 X 1 1 1 1 X 1 0 X X 0 1 0 X 1 1 1 1 1 X 0 1 0 0 1 1 1 0 X 1 X+1 1 1 0 X+1 X+1 1 X 1 X X X+1 0 1 X 1 1 1 X X 1 1 0 0 1 X 1 1 1 0 X 1 X 0 X 1 X+1 0 X X 1 0 1 X 1 X X+1 0 1 1 1 1 X 0 1 0 0 1 1 1 0 1 0 1 X+1 X X 1 1 1 X X+1 X X 1 1 X 1 X+1 1 1 1 0 X+1 1 0 X 0 0 X+1 1 0 X X X+1 0 X+1 0 1 1 1 0 1 1 X 1 X+1 X+1 1 X 1 0 1 X X X+1 X+1 X 0 1 0 0 0 X 0 0 0 0 X 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 X X X 0 0 X X X X X X X X X 0 0 X 0 X X 0 X X 0 0 X 0 X X 0 X 0 0 0 0 X 0 0 0 0 X 0 0 0 X X 0 0 X X X X X X 0 0 X 0 0 0 X 0 X X X X X 0 X 0 X 0 X 0 X X 0 X 0 X 0 0 X 0 0 X 0 X X X X 0 X 0 X X 0 0 0 0 0 X 0 0 0 0 X 0 0 X 0 X 0 X 0 0 0 X 0 0 X X X X X X X X X 0 0 0 X X 0 0 0 X X X 0 0 X 0 X X 0 0 X X X 0 0 0 X 0 X X 0 X 0 0 0 0 0 0 0 X 0 0 0 0 X 0 X X X X X X X X 0 X 0 X X 0 X 0 X X 0 0 0 0 0 0 X X 0 X X 0 0 0 0 X X 0 0 0 X X X 0 0 X 0 X 0 X 0 X X 0 0 0 0 0 0 0 0 X X X X 0 X X X X X X 0 X 0 0 0 X X X 0 0 0 X 0 X X X X 0 0 X X 0 X X X X X 0 0 X 0 0 X 0 X 0 X 0 0 0 0 0 0 X 0 X X 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+56x^56+54x^57+96x^58+148x^59+137x^60+146x^61+138x^62+140x^63+122x^64+142x^65+126x^66+108x^67+106x^68+94x^69+72x^70+58x^71+60x^72+68x^73+54x^74+54x^75+19x^76+8x^77+20x^78+2x^79+9x^80+4x^82+2x^83+2x^84+2x^86 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 0.632 seconds.