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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 X 1 X X X 1 X 1 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X X X X X 0 X 0 X X 0 X X 0 X X X X 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X X X 0 X X X X 0 X X 0 0 0 X X 0 X 0 0 0 0 X 0 0 X X 0 0 X 0 X X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X X X 0 0 X 0 0 X 0 0 X 0 0 0 0 0 X 0 X X 0 X X X 0 0 X X X X 0 X 0 X 0 X X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X X X X 0 0 0 0 X X 0 X 0 X X X 0 0 0 0 0 X X 0 0 X X 0 X 0 0 X X 0 X X X X 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X X X X X 0 X X 0 X X X 0 0 0 X 0 X X X X 0 0 0 0 X 0 0 0 0 0 X 0 X 0 0 X X X 0 X X X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 X X 0 X X 0 X 0 X 0 X X X 0 X 0 X 0 0 0 X 0 X X X 0 0 0 X X 0 0 0 X X 0 0 X 0 0 0 X 0 X X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X X X 0 X X 0 X 0 X 0 X 0 0 0 X 0 X 0 X X 0 X X X X X X 0 X X X X 0 X X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 0 X X 0 X 0 0 0 X X X 0 0 0 X X 0 X 0 0 X 0 0 X 0 X X 0 X X X X X 0 0 X 0 0 X 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 X 0 0 X 0 X 0 0 X 0 0 0 0 X X X 0 0 0 0 0 0 0 X X X X X X X 0 X 0 X X X 0 X X X 0 X 0 0 X X X X 0 0 0 0 0 0 0 0 0 0 X 0 X X X X X 0 0 0 X 0 0 X X 0 0 X 0 X X 0 X 0 X 0 X 0 0 0 0 X 0 0 X 0 0 X 0 0 X X 0 0 0 0 X X X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X 0 0 X X X X X 0 X 0 X 0 0 0 0 0 X X 0 0 0 X 0 X 0 X 0 0 0 0 0 X X X 0 0 X 0 0 X X X X 0 X 0 X X generates a code of length 64 over Z2[X]/(X^2) who´s minimum homogenous weight is 48. Homogenous weight enumerator: w(x)=1x^0+128x^48+364x^52+537x^56+64x^58+1051x^60+960x^62+1976x^64+960x^66+1073x^68+64x^70+559x^72+305x^76+123x^80+22x^84+4x^88+1x^116 The gray image is a linear code over GF(2) with n=128, k=13 and d=48. This code was found by Heurico 1.16 in 28.6 seconds.