The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X X X X 0 1 1 X 1 X 1 1 1 1 1 1 1 X X 1 1 1 1 X 1 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X 0 0 X X X 0 X X X 0 X 0 X 0 X 0 X X X 0 0 X X X 0 X X 0 X 0 0 0 X X X 0 X X X 0 0 X 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 X X X X X X 0 0 0 0 0 X X X X X 0 X 0 X X X X 0 X X 0 0 X 0 X X X X X 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 0 0 0 0 0 X X X X X 0 X X X 0 X X X 0 X 0 0 X X X 0 0 X 0 0 X 0 0 0 X 0 0 0 X 0 X 0 0 X 0 0 X 0 0 0 0 0 X X 0 X 0 0 0 0 X 0 0 0 0 0 0 X 0 X X 0 X X X 0 X X X 0 0 0 0 0 X 0 0 0 X X X X 0 X 0 X 0 X 0 0 0 X X 0 X X X X 0 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 X X X X X 0 0 X 0 0 X X 0 0 0 X X 0 0 X 0 0 0 X X 0 0 0 X 0 X X 0 X X X X 0 X 0 X 0 0 0 X X X X 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 X X 0 0 X 0 0 X X 0 X 0 X 0 X 0 X 0 X 0 X 0 X X X 0 X X 0 X 0 0 0 0 X X 0 X 0 X 0 X 0 0 0 X 0 0 X 0 0 0 0 0 0 0 X 0 0 X 0 0 X 0 0 X 0 0 X 0 X X 0 0 X X X 0 0 X X X 0 0 X 0 X 0 0 0 X 0 0 X X X 0 X 0 0 0 X 0 X X X X 0 X X X 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 0 0 0 X 0 0 0 X X X X 0 0 0 X 0 X 0 0 0 X X 0 X X X 0 X 0 0 X 0 X X 0 X 0 X X X X 0 0 0 X 0 X 0 0 0 0 0 0 0 0 0 0 X X X X 0 0 X X X X X 0 X 0 X 0 X 0 X X 0 0 X X X X X X 0 X 0 0 X 0 0 0 X 0 X 0 0 X 0 X 0 X 0 0 X X 0 X 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+126x^52+4x^54+221x^56+80x^58+351x^60+248x^62+378x^64+144x^66+235x^68+36x^70+142x^72+53x^76+25x^80+3x^84+1x^104 The gray image is a linear code over GF(2) with n=126, k=11 and d=52. This code was found by Heurico 1.16 in 0.962 seconds.