The generator matrix 1 0 0 0 0 1 1 1 0 1 1 0 X 1 0 X X 1 0 1 1 1 1 0 1 1 1 0 1 1 1 1 X 0 1 X 0 1 0 0 X 1 1 1 1 X 0 X X 1 0 1 1 X X 1 1 0 1 0 0 0 0 0 0 0 1 1 1 0 X 1 X 1 X+1 1 0 X+1 1 X 1 0 1 0 1 1 1 X+1 1 0 0 X 1 1 X+1 1 1 1 X+1 1 X+1 X 0 0 1 1 X+1 0 1 X 1 1 X 0 0 0 1 0 0 0 1 1 1 1 X 1 1 0 X 1 1 0 0 X+1 X X 1 X+1 0 1 0 X 1 X+1 1 1 0 1 0 1 0 1 X+1 0 0 X+1 X+1 X X X 0 1 0 0 1 X 0 X 1 X 0 0 0 0 1 0 1 1 0 1 0 X+1 X+1 X 0 X+1 1 1 X 0 0 0 X+1 1 0 1 X+1 X X+1 0 X X+1 X+1 X 1 X+1 1 X 1 0 0 X+1 0 0 X X 1 1 1 0 X X 1 1 1 X X 0 0 0 0 0 1 1 0 1 1 X 0 X X+1 1 X+1 0 X+1 1 X+1 0 0 1 1 1 X X+1 0 X X X+1 0 X 1 X X+1 1 1 1 1 0 1 1 X X+1 X+1 1 X+1 1 X X 0 X+1 X 0 X X 0 0 0 0 0 0 X 0 0 0 X 0 X X X X X X 0 0 0 X 0 0 0 0 X X 0 0 X 0 X X X 0 X 0 X X 0 0 0 X X X 0 X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X 0 0 X X 0 X 0 X 0 X X 0 0 0 X X X X 0 0 X X 0 X X 0 0 0 0 0 0 0 0 0 X 0 0 X X X X X 0 0 0 X X X X 0 0 X 0 X X X X X X 0 X X X X 0 0 X X 0 0 0 X X X 0 0 X 0 0 X 0 X X 0 0 0 0 0 0 0 0 0 X X X 0 X X X X 0 X 0 X 0 0 X X X 0 0 X X 0 0 X X X X 0 X X X 0 X 0 0 0 X X 0 0 0 0 0 0 0 X X X 0 generates a code of length 57 over Z2[X]/(X^2) who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+36x^44+84x^45+194x^46+320x^47+409x^48+472x^49+615x^50+680x^51+755x^52+890x^53+918x^54+1018x^55+1169x^56+1148x^57+1121x^58+1146x^59+969x^60+920x^61+872x^62+724x^63+559x^64+464x^65+305x^66+188x^67+170x^68+106x^69+62x^70+18x^71+21x^72+12x^73+7x^74+2x^75+5x^76+2x^78+1x^80+1x^84 The gray image is a linear code over GF(2) with n=114, k=14 and d=44. This code was found by Heurico 1.16 in 57.3 seconds.