The generator matrix 1 0 0 0 0 0 0 0 1 1 1 1 X 1 1 0 X 1 X X X 0 1 X 1 0 1 1 0 1 1 1 X 1 1 0 X X 0 0 1 1 X 1 1 X X 1 0 X 1 1 0 0 0 0 1 1 1 0 0 1 0 1 0 1 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 1 1 1 1 1 1 X+1 1 X+1 X+1 1 1 1 1 1 1 X 1 1 1 X X+1 X X+1 1 X X 1 X+1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 X 1 1 1 X 1 1 1 1 X 0 1 X+1 1 0 1 X X+1 1 X+1 0 1 1 1 X 0 X+1 0 X+1 X 1 1 1 0 X+1 X+1 X+1 1 0 X X X X+1 X 0 0 1 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 X X+1 1 X 0 X+1 1 X X X X+1 0 1 X+1 X+1 X 1 0 X X+1 0 X X+1 X 1 X+1 X+1 0 X 1 1 X X 0 X+1 1 X+1 0 1 1 X+1 X 0 0 1 1 X X+1 0 0 0 0 1 0 0 0 1 0 X X+1 1 X 0 0 1 X X+1 X 1 X+1 X 1 X X+1 X 0 X+1 X+1 1 0 X 1 X+1 1 0 0 0 X 1 1 X+1 1 X X+1 0 0 1 1 X 0 0 0 1 X 1 0 X+1 1 0 1 0 X+1 0 0 0 0 0 1 0 0 1 X X+1 X 1 0 0 X 1 1 X X+1 X X+1 0 X+1 X+1 0 0 X+1 X+1 X+1 0 1 1 1 X+1 0 X+1 1 X+1 X X+1 X+1 1 0 X X+1 X+1 X X+1 0 0 1 1 1 X+1 1 X X X X X+1 0 X 1 0 0 0 0 0 0 1 0 1 X+1 0 X X+1 X 1 1 0 1 1 X+1 1 1 0 1 X X+1 0 X+1 X 0 X X 0 X X+1 X+1 X X+1 1 X+1 1 0 0 0 1 X+1 1 X 1 X+1 1 X+1 1 1 0 1 1 X 1 1 X X+1 0 1 0 0 0 0 0 0 0 1 X 1 X+1 X+1 X+1 1 X 1 X 1 X X+1 0 X+1 0 X X X+1 1 X 1 0 0 1 X+1 X X+1 1 0 X+1 0 X+1 X X+1 X+1 0 X+1 X 1 1 0 X X+1 X+1 X+1 1 X X X+1 1 1 0 X X X+1 X generates a code of length 64 over Z2[X]/(X^2) who´s minimum homogenous weight is 49. Homogenous weight enumerator: w(x)=1x^0+92x^49+228x^50+396x^51+623x^52+876x^53+1069x^54+1378x^55+1753x^56+2164x^57+2696x^58+2984x^59+3474x^60+3970x^61+4106x^62+4290x^63+4484x^64+4626x^65+4440x^66+4062x^67+3769x^68+3260x^69+2651x^70+2204x^71+1723x^72+1268x^73+976x^74+656x^75+464x^76+326x^77+180x^78+142x^79+79x^80+58x^81+36x^82+14x^83+14x^84+2x^86+2x^87 The gray image is a linear code over GF(2) with n=128, k=16 and d=49. This code was found by Heurico 1.11 in 244 seconds.