The generator matrix 1 0 0 0 0 0 0 1 1 1 X 1 1 0 1 1 0 0 1 1 0 1 1 0 1 0 X X X 1 1 1 1 1 1 X 1 1 0 0 1 X 1 1 X 1 0 1 0 1 0 1 0 1 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 X X X 1 1 X+1 1 1 1 1 X+1 1 1 1 1 X X X+1 0 X 0 1 X+1 0 0 X X+1 1 0 X+1 1 X+1 X X+1 1 1 1 X+1 1 X 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 0 0 X X X X X X 1 X+1 X+1 1 1 1 X+1 X+1 X+1 1 1 1 1 1 X+1 1 X+1 X+1 1 0 1 X X 1 0 1 0 1 1 0 0 0 1 0 0 0 0 0 X X 1 1 1 1 X+1 1 1 X 0 X 0 1 1 0 X 1 X+1 X 1 X+1 X 1 0 X 0 X X+1 1 X 1 1 X+1 0 X 1 1 X+1 X 0 X+1 X 1 X X 1 X+1 0 0 0 0 1 0 0 1 X 1 1 0 X+1 1 0 1 0 1 X X 0 X+1 X+1 X 1 X+1 X X+1 X+1 X 0 1 1 X+1 X+1 1 1 X+1 0 X+1 0 1 X+1 0 0 X+1 X 0 X 1 X X+1 1 1 1 0 0 0 0 0 0 0 1 0 1 X+1 0 1 X X+1 1 1 0 1 X 1 0 X+1 X 0 X 1 1 X+1 1 X 1 X X+1 X+1 X+1 X X X 0 0 X+1 0 X 1 1 0 1 0 1 X X+1 0 X 0 0 X X X 0 0 0 0 0 0 1 X 1 1 X+1 1 X+1 0 0 X X+1 0 0 X+1 X+1 0 1 1 1 X 0 1 X+1 1 X 0 X X+1 X X X+1 X+1 X X X+1 1 0 1 1 0 X+1 X X 1 X X X+1 1 0 1 1 generates a code of length 57 over Z2[X]/(X^2) who´s minimum homogenous weight is 45. Homogenous weight enumerator: w(x)=1x^0+80x^45+159x^46+294x^47+405x^48+508x^49+630x^50+720x^51+788x^52+852x^53+993x^54+1038x^55+1128x^56+1080x^57+1093x^58+1144x^59+1049x^60+972x^61+835x^62+770x^63+578x^64+360x^65+322x^66+232x^67+130x^68+112x^69+61x^70+26x^71+16x^72+4x^73+3x^74+1x^92 The gray image is a linear code over GF(2) with n=114, k=14 and d=45. This code was found by Heurico 1.10 in 9.72 seconds.