The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X X X 1 X X 1 0 1 1 1 0 1 0 0 1 X 1 1 1 X 1 0 0 1 1 X X 1 1 1 1 1 X 0 X 1 X 1 1 X 1 0 0 X 1 0 X 1 1 1 0 1 0 0 0 1 1 1 X 0 X+1 X+1 1 1 X 1 1 1 1 1 1 0 X+1 0 0 X 0 X 1 0 X X 1 X+1 1 1 X+1 X 0 1 0 X+1 1 X X+1 1 1 1 X 1 1 1 0 0 0 1 X 1 1 1 X X 1 0 0 1 0 1 1 0 1 0 X+1 X+1 X X X+1 1 X X X+1 1 1 0 X+1 X+1 X 1 1 1 0 X X+1 X+1 X 0 0 1 1 1 0 1 0 0 X+1 1 1 X+1 X 0 X+1 0 1 0 0 1 X X 0 1 0 X 1 1 0 1 0 0 0 1 1 0 1 1 1 0 1 X X+1 0 X+1 1 1 X+1 0 X X X X 1 X+1 X+1 X X 0 X X+1 1 X+1 X+1 X X+1 X+1 X X 0 0 0 1 1 X X+1 X+1 1 1 X+1 0 1 X+1 1 1 X+1 X 0 X 1 1 X+1 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 X X X X X X X X X X X X X X X 0 X X X 0 0 X 0 0 X X X X 0 X X 0 0 X X X 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 X 0 X X X 0 0 X 0 X X X 0 X 0 0 0 0 X 0 X 0 0 X 0 X X X X 0 0 X X X X X 0 0 X X 0 0 0 0 X X X 0 0 0 0 0 0 X 0 0 0 0 0 0 X X X 0 X X 0 0 X X 0 X 0 X 0 X 0 X X 0 X 0 X X 0 X 0 X 0 X 0 0 0 X 0 X X 0 0 0 X X X X 0 X 0 X 0 X 0 0 0 0 0 0 0 X X X 0 X X X X X 0 0 X 0 X X 0 0 0 X 0 0 X X 0 X X X X X 0 0 0 0 0 X X X 0 0 0 0 0 0 X 0 X 0 0 0 0 0 X X 0 X 0 generates a code of length 63 over Z2[X]/(X^2) who´s minimum homogenous weight is 53. Homogenous weight enumerator: w(x)=1x^0+62x^53+122x^54+142x^55+204x^56+214x^57+242x^58+270x^59+252x^60+264x^61+236x^62+244x^63+255x^64+210x^65+211x^66+220x^67+193x^68+194x^69+156x^70+110x^71+104x^72+70x^73+48x^74+38x^75+10x^76+8x^77+4x^78+4x^80+2x^81+3x^82+1x^84+2x^86 The gray image is a linear code over GF(2) with n=126, k=12 and d=53. This code was found by Heurico 1.16 in 2.83 seconds.