The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 X 1 1 0 1 1 1 X 1 1 0 1 0 1 X 1 1 X 1 1 0 1 1 X 1 1 1 1 1 1 1 1 1 0 X 0 0 1 0 X X 1 1 1 1 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 X+1 1 0 X+1 1 0 X+1 1 X+1 0 1 X+1 0 1 1 0 0 1 X 1 1 X+1 1 0 1 X+1 0 1 1 X 1 X 1 1 1 X X X X+1 X+1 X X+1 X 1 1 1 1 X+1 0 1 1 X+1 1 X X+1 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X X 0 X 0 X 0 0 X 0 0 X X 0 X 0 0 X X 0 0 X X X X 0 X X X X X 0 X X 0 0 X X 0 0 X X X 0 0 0 0 0 0 0 X 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 0 0 0 X X X X X X X X X X 0 X X X X 0 X 0 X X X 0 X 0 X X X X 0 0 X 0 0 0 X 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X X X 0 X X 0 0 X X 0 X X 0 0 0 0 X 0 X X X X 0 X 0 X X 0 0 X X 0 0 X 0 0 0 X 0 0 X X 0 0 0 X 0 X X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X 0 X 0 X 0 X X 0 0 X X 0 X X X 0 0 0 X 0 X 0 X 0 X X 0 X X 0 0 X X 0 0 0 0 X X X X X 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 X X X X X X 0 X X 0 0 X X X X X 0 X X 0 0 0 X 0 X X X X 0 X 0 X X 0 0 0 0 0 X 0 X 0 X 0 X X X X 0 0 0 X X X 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 0 0 X X X 0 0 X X X X X X X 0 X 0 X 0 X 0 0 X X 0 0 X 0 0 0 0 X 0 0 X 0 X 0 0 X 0 0 0 0 0 0 X 0 X 0 0 X X X X X 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 0 X X X 0 X X 0 X X X X X 0 0 0 X X X X 0 X X X X 0 X X X X 0 X X X 0 0 X 0 X 0 X 0 0 X 0 0 X 0 0 X X X 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 X X 0 0 0 0 X X X 0 0 X X X 0 X X 0 X 0 X 0 0 X 0 X 0 X 0 X 0 0 X X 0 X X X X 0 0 X 0 X X X X X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 X 0 0 0 0 X 0 0 X X X X X 0 0 X 0 0 0 X X X 0 X 0 X 0 0 0 X 0 0 0 X X 0 0 0 X 0 X X X 0 0 X 0 X 0 0 X X 0 X 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X 0 X 0 X 0 X 0 0 0 0 X X 0 0 0 X X 0 0 0 0 X 0 X 0 X X 0 0 0 0 X X 0 0 0 0 X 0 X 0 0 X X 0 0 X 0 0 X 0 X generates a code of length 71 over Z2[X]/(X^2) who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+49x^54+121x^56+22x^57+171x^58+80x^59+277x^60+186x^61+370x^62+392x^63+515x^64+654x^65+723x^66+916x^67+847x^68+1186x^69+1009x^70+1316x^71+1046x^72+1186x^73+874x^74+920x^75+708x^76+654x^77+535x^78+400x^79+368x^80+186x^81+249x^82+68x^83+136x^84+22x^85+82x^86+4x^87+57x^88+30x^90+15x^92+3x^94+4x^96+1x^100+1x^106 The gray image is a linear code over GF(2) with n=142, k=14 and d=54. This code was found by Heurico 1.16 in 61.4 seconds.