The generator matrix 1 0 0 1 1 1 0 1 1 1 1 1 0 X 0 1 0 1 1 X 0 1 1 1 X 1 0 1 1 X X 1 1 1 1 X 1 0 1 X 0 1 1 X 1 0 0 1 0 X 1 1 X X 0 1 1 0 0 1 1 X 1 0 1 0 1 0 1 1 0 0 1 X+1 X 1 1 0 X 0 X+1 X+1 1 1 1 X 1 0 0 1 X X 1 1 1 X+1 X+1 1 1 0 1 X 0 1 1 X 1 X 1 X 0 1 1 X+1 X+1 1 1 1 0 X 1 0 X+1 0 0 0 0 0 1 1 1 0 1 0 1 X+1 X 1 X 1 1 0 1 X+1 0 1 0 1 1 X+1 1 X+1 X 1 0 1 1 X+1 X+1 1 X 0 X 1 X+1 1 0 0 X+1 0 0 1 1 0 1 0 X+1 1 1 X+1 X+1 X+1 0 X 1 X+1 X 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 X 0 X 0 0 X 0 0 0 0 X X X 0 0 X X X X X X X X 0 X X X 0 0 X X X X 0 X 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X X X X 0 X 0 X X X X 0 0 X 0 0 0 X 0 X 0 0 X 0 X X 0 X X 0 0 0 0 X 0 X X X X 0 0 X X 0 X X 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 0 0 X 0 X X X X X X 0 X X X 0 X X X 0 X 0 0 X X X 0 0 X X 0 X X 0 0 X 0 0 0 X 0 X 0 X 0 X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 X X X 0 X X 0 0 0 X X 0 X X X X 0 X 0 0 0 X X 0 0 X X X X 0 0 X X X 0 0 X 0 0 X X 0 X X 0 0 X 0 0 0 0 0 0 0 X 0 X X X 0 0 X 0 X X X 0 0 X 0 0 X X 0 X 0 X X 0 X X X 0 X 0 X X X X 0 0 X 0 X 0 0 X 0 0 X X 0 X 0 X 0 0 X 0 X 0 0 0 0 0 0 0 0 X 0 0 X X X X X 0 X 0 X X X 0 0 0 0 X X 0 X X 0 X X 0 X 0 0 X X X X 0 X X X X X 0 0 0 X 0 0 0 X X X X X 0 0 0 generates a code of length 63 over Z2[X]/(X^2) who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+50x^52+60x^53+117x^54+122x^55+176x^56+198x^57+227x^58+272x^59+237x^60+266x^61+255x^62+268x^63+250x^64+244x^65+217x^66+232x^67+176x^68+184x^69+143x^70+106x^71+90x^72+70x^73+49x^74+24x^75+33x^76+2x^77+13x^78+11x^80+3x^82 The gray image is a linear code over GF(2) with n=126, k=12 and d=52. This code was found by Heurico 1.16 in 2.46 seconds.