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 X X X X 0 X X 1 1 0 1 1 X 1 X 1 1 X 1 X 1 1 0 1 X 1 1 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 0 X X X X 0 X 0 0 0 X 0 X X X X 0 X 0 X X X 0 0 X 0 0 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 X 0 X 0 0 0 X 0 X 0 X 0 0 0 0 X X 0 0 0 X 0 X X 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 0 X 0 X X X X X 0 0 0 0 X X 0 X 0 X X 0 0 X X 0 X X X X X 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 0 X X 0 0 X X 0 0 X 0 X 0 X X X 0 X X X X X X X X X 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 X X X X X 0 X X 0 0 0 0 0 X X X X X 0 0 X X X 0 0 0 X X 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 X X 0 X 0 X X 0 0 X 0 X 0 X X X 0 0 0 0 X 0 0 X 0 X 0 X 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 X X X X X 0 X X 0 0 X X X 0 X 0 0 0 0 X 0 X 0 X 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 X 0 0 X X X X 0 X X X X X 0 X 0 X 0 0 X X X 0 0 X 0 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 0 0 0 0 0 0 X 0 0 X X X 0 0 0 X 0 0 0 0 X X X X 0 X 0 0 0 generates a code of length 64 over Z2[X]/(X^2) who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+93x^52+216x^56+60x^58+296x^60+200x^62+354x^64+192x^66+305x^68+56x^70+165x^72+4x^74+60x^76+29x^80+13x^84+3x^88+1x^100 The gray image is a linear code over GF(2) with n=128, k=11 and d=52. This code was found by Heurico 1.16 in 0.957 seconds.