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 X X X X 1 X X X 1 1 1 X 0 1 1 1 1 1 X X 1 X X 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 X 0 X X 0 0 X 0 X 0 X X X X X X 0 X X X X 0 X X 0 0 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 0 0 X X X X 0 X X 0 X 0 0 0 0 0 X X X 0 0 0 0 0 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 X 0 0 X 0 0 0 X X X X 0 0 X X 0 0 0 X 0 X X X 0 0 0 0 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 0 X X 0 0 0 X 0 0 X 0 X X X 0 X X 0 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 X X X 0 X X 0 0 0 0 X X 0 0 0 X 0 X X X 0 X X 0 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 X X X 0 0 X 0 X X X X 0 0 0 X 0 0 X X 0 0 0 0 X 0 0 0 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 X X 0 X 0 0 X X 0 X X X X X X 0 X 0 X 0 0 0 0 0 0 X X 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 X 0 0 0 X X 0 X 0 0 X 0 0 0 X X X 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 0 0 0 0 X 0 0 0 X 0 X 0 0 X 0 0 X 0 X 0 0 X 0 X 0 X X generates a code of length 60 over Z2[X]/(X^2) who´s minimum homogenous weight is 48. Homogenous weight enumerator: w(x)=1x^0+78x^48+4x^50+224x^52+68x^54+282x^56+184x^58+401x^60+184x^62+282x^64+68x^66+159x^68+4x^70+72x^72+28x^76+5x^80+3x^84+1x^92 The gray image is a linear code over GF(2) with n=120, k=11 and d=48. This code was found by Heurico 1.16 in 0.866 seconds.