The generator matrix 1 0 0 0 0 0 0 0 1 1 1 0 1 0 1 X 0 X 0 1 1 1 X X 1 1 X 0 X 0 1 1 X 0 X 1 X 1 0 1 1 1 0 0 1 0 1 1 1 1 1 1 X X X 1 1 0 0 1 1 X 1 1 1 0 1 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 X+1 1 1 1 X+1 1 1 1 X+1 1 1 1 X X+1 1 X+1 X+1 X+1 0 X+1 1 X 0 1 X+1 X X X 1 0 0 X 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 X 1 1 1 1 1 1 X+1 1 1 1 1 1 0 X 1 X+1 X+1 X+1 1 1 X+1 0 X X 1 1 X+1 X 1 X 1 1 X+1 1 0 X X X 0 1 1 1 X+1 X 1 X+1 X X 0 0 0 0 0 0 1 0 0 0 0 0 1 1 X 0 1 X 0 X+1 X+1 1 1 X+1 X X X X+1 1 1 X 1 X 0 0 0 1 X+1 0 X+1 X X+1 X X 1 X+1 1 1 1 1 X+1 X+1 0 0 X+1 1 X 1 X+1 0 0 0 X+1 0 1 1 0 0 0 0 0 0 1 0 0 0 1 0 X 1 X+1 0 0 X X+1 X+1 X+1 1 0 X+1 X 1 1 X+1 X+1 X X 1 X X X+1 1 X+1 1 X X X X+1 0 0 X 1 0 X+1 X+1 0 X+1 0 0 X 0 X X+1 X X X X X+1 X X+1 X 1 0 0 0 0 0 0 1 0 0 1 X X+1 X X+1 1 X+1 X+1 X X+1 X X+1 X X 0 1 X X+1 0 1 1 0 0 0 X 1 0 0 X+1 1 X X+1 X 0 0 1 X X 0 0 X+1 X+1 1 X X 0 X+1 X+1 1 1 X X+1 0 X+1 0 X 0 0 0 0 0 0 0 1 0 1 X+1 0 1 X 1 1 X X+1 0 X X X+1 X+1 1 X X 1 0 1 X+1 X X+1 0 1 0 X X 0 X X 1 0 0 X+1 1 1 0 1 0 0 1 1 0 X X+1 X+1 X+1 0 X+1 X+1 0 X+1 0 X+1 0 0 0 0 0 0 0 0 0 1 X 1 X 1 X+1 1 1 1 1 X+1 X X X 0 X+1 X X+1 X X+1 X+1 0 1 X+1 1 0 X 0 1 1 1 X+1 0 X 1 X 1 0 X+1 1 0 X+1 X+1 0 0 1 0 X 0 X 0 1 0 0 0 1 0 0 generates a code of length 65 over Z2[X]/(X^2) who´s minimum homogenous weight is 49. Homogenous weight enumerator: w(x)=1x^0+26x^49+129x^50+272x^51+458x^52+656x^53+873x^54+1224x^55+1398x^56+1766x^57+2185x^58+2538x^59+2987x^60+3336x^61+3889x^62+4102x^63+4365x^64+4604x^65+4375x^66+4236x^67+4027x^68+3662x^69+3237x^70+2710x^71+2164x^72+1710x^73+1383x^74+1044x^75+721x^76+524x^77+360x^78+218x^79+118x^80+86x^81+64x^82+36x^83+15x^84+14x^85+16x^86+2x^87+2x^88+2x^91+1x^94 The gray image is a linear code over GF(2) with n=130, k=16 and d=49. This code was found by Heurico 1.11 in 203 seconds.