The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X X X 1 0 X 0 1 0 1 1 1 X 0 0 1 1 1 1 1 1 0 0 1 0 X 1 1 X X 0 1 1 1 0 1 0 X 1 X 1 X 1 0 1 1 X 1 X 0 0 0 1 0 0 0 1 1 1 0 X X+1 X+1 1 1 X 0 0 0 1 X 1 X+1 1 1 0 0 1 0 X X+1 X X X 1 X 0 X 1 0 1 0 1 1 X 1 X X X+1 1 0 X 1 1 1 X+1 1 1 1 1 X+1 X 0 0 0 0 1 0 1 1 0 1 0 1 1 X 0 1 1 X 1 X X 1 1 X+1 0 1 1 1 0 0 1 X 0 0 0 X 1 1 X 1 1 X+1 1 X+1 X X 1 1 0 X+1 X+1 1 1 X X X X+1 1 1 X+1 X X+1 1 1 0 0 0 0 1 1 0 1 1 1 0 X+1 X 1 X 1 X+1 0 1 0 X+1 0 0 1 X+1 0 X 1 X 0 X X+1 1 0 1 X+1 0 1 X+1 X X X+1 0 X+1 1 0 1 1 X+1 0 1 X 1 X+1 X+1 0 1 X X X+1 1 1 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X 0 0 X X X X 0 X X 0 0 0 0 X X 0 0 X 0 X 0 X X 0 X X X 0 0 X X X X 0 X X 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 X X X X X X X 0 0 0 X 0 0 X X 0 X 0 0 0 X X 0 0 X 0 X 0 X X X X 0 0 X 0 X 0 0 X X 0 0 0 X 0 0 X X 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 X X X 0 X X 0 0 X 0 X X 0 0 0 X 0 0 X 0 0 X X 0 X X X 0 0 X X X X X X X 0 0 X X 0 0 X 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X X 0 X X 0 0 X X X X 0 0 X X 0 X X 0 X X 0 0 X 0 X 0 X 0 0 X X 0 X X X 0 0 0 0 0 X X X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X 0 0 0 0 X 0 0 X 0 0 X 0 X X X X 0 X X X 0 0 X 0 X 0 0 0 X X 0 0 0 0 0 X X X 0 0 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+207x^52+420x^54+741x^56+748x^58+1008x^60+996x^62+1045x^64+920x^66+862x^68+588x^70+375x^72+156x^74+96x^76+12x^78+13x^80+3x^84+1x^96 The gray image is a linear code over GF(2) with n=126, k=13 and d=52. This code was found by Heurico 1.16 in 9.74 seconds.