The generator matrix 1 0 0 0 0 0 0 1 1 1 1 X 1 1 1 X 0 0 0 0 1 X X 1 1 0 0 X 1 1 1 X X 1 0 X 1 0 1 1 X 1 1 X 1 X 1 1 0 1 1 X 1 1 1 1 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 X X X X 0 1 1 1 1 1 X+1 1 1 1 X+1 1 X+1 1 1 0 1 1 X+1 X 0 X+1 X 1 X+1 X 1 0 X 1 1 X+1 X+1 1 1 1 1 X+1 X 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 X X X+1 0 1 X+1 X+1 X X+1 0 X 0 1 X+1 X X 0 0 1 1 X+1 X 1 1 1 1 1 1 X X 1 0 0 X+1 1 X+1 0 X 1 0 0 0 0 1 0 0 0 0 1 1 0 1 X 0 1 X+1 0 X 1 1 X X+1 1 0 X+1 X 0 0 1 0 1 X+1 X 1 0 0 X+1 X+1 X X 1 X+1 0 1 X X 0 0 X 0 X X+1 X 1 X X X+1 0 0 0 0 0 0 1 0 0 0 1 X 1 X+1 X 0 1 X X 1 1 1 1 X X+1 X+1 X X+1 1 X+1 X X X+1 0 X 0 X+1 0 X+1 X+1 X 1 0 X 0 X+1 0 X+1 1 1 X X+1 1 0 X X+1 X+1 X+1 X+1 1 0 0 0 0 0 0 1 0 1 0 1 X+1 X+1 X 1 0 X 1 0 X+1 X 1 1 X+1 1 X+1 X X 1 X 0 X+1 X 0 X X+1 1 1 0 X+1 0 X+1 X X+1 X 1 X+1 0 1 0 X+1 X 0 0 X+1 1 X 1 0 0 0 0 0 0 0 0 1 1 X+1 0 X 1 1 X X X+1 1 1 X 0 1 0 0 0 X+1 X X+1 1 X+1 X 1 X+1 X X 0 1 0 1 X+1 1 X+1 X X+1 X 0 X 0 X+1 1 X 0 X 1 X+1 1 X 0 X 1 0 0 0 0 0 0 0 X X 0 0 X X 0 0 X X X 0 0 X 0 0 0 X 0 X X X 0 0 0 X X X 0 X 0 0 0 0 X 0 X X X X 0 0 X 0 X 0 X 0 0 X 0 0 generates a code of length 59 over Z2[X]/(X^2) who´s minimum homogenous weight is 45. Homogenous weight enumerator: w(x)=1x^0+42x^45+106x^46+256x^47+412x^48+596x^49+732x^50+892x^51+1092x^52+1220x^53+1553x^54+1766x^55+1963x^56+2184x^57+2208x^58+2338x^59+2318x^60+2242x^61+2202x^62+1872x^63+1635x^64+1354x^65+1036x^66+852x^67+629x^68+476x^69+317x^70+186x^71+120x^72+72x^73+32x^74+30x^75+16x^76+4x^77+6x^78+4x^80+2x^81+1x^84+1x^88 The gray image is a linear code over GF(2) with n=118, k=15 and d=45. This code was found by Heurico 1.11 in 46.7 seconds.