The generator matrix 1 0 1 1 1 0 1 1 0 1 1 X 1 1 0 1 0 1 1 0 1 1 0 1 0 X 1 1 0 1 1 1 1 0 X 0 1 X 1 1 1 0 0 1 X 1 1 1 1 1 X 0 0 1 1 1 0 1 1 1 X X X 0 1 1 0 1 1 0 1 1 0 X+1 1 X X+1 1 0 1 X+1 X 1 X+1 1 1 0 1 1 0 X 1 0 X X+1 X+1 1 1 1 1 1 X+1 1 0 1 1 X 1 X+1 1 X X X 1 1 1 0 0 1 1 X+1 0 0 1 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X X 0 X X 0 0 0 X X 0 0 X X X 0 0 X X 0 X 0 0 X 0 X 0 X X 0 X 0 X X 0 X X 0 X X 0 0 X 0 0 X X 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X 0 X X X 0 X 0 X 0 X 0 X X X X 0 0 0 X 0 0 X 0 X 0 X 0 X X X X 0 X X 0 0 0 0 X 0 X X 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X 0 X X 0 0 0 X X X X 0 X 0 X X 0 X X X 0 0 0 X X X 0 X X X 0 X 0 0 0 X 0 X 0 X 0 X 0 X X X X 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 X X X X X X X X X X X X X 0 X 0 X X 0 X 0 0 X X X 0 0 0 0 X X X X 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 X 0 X 0 0 X X 0 X 0 X X 0 0 X 0 X X X 0 0 X X 0 X 0 X 0 0 X 0 0 0 X X X X 0 X 0 X X 0 X X 0 X 0 0 0 0 0 0 0 X 0 0 X 0 0 0 X X X 0 X 0 X X X 0 0 X 0 0 0 X X 0 X 0 X X 0 0 X X X X 0 X 0 X X 0 X 0 X X X X 0 0 0 X X X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X X 0 X X 0 X X X X 0 0 X X X 0 X X X 0 X 0 X X 0 0 0 X X X 0 0 X 0 0 0 X X 0 X X X X 0 0 X 0 0 X X 0 0 0 0 0 0 0 0 0 X 0 0 X X X X 0 0 X X X 0 X X 0 X 0 X X 0 X 0 X 0 X X X 0 0 X 0 X 0 0 0 X 0 X 0 0 0 X X 0 0 X X X X 0 0 X X 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+140x^52+94x^54+428x^56+342x^58+597x^60+444x^62+622x^64+412x^66+431x^68+230x^70+241x^72+14x^74+75x^76+17x^80+5x^84+3x^88 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 3.01 seconds.