The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X 0 0 1 1 1 1 X 0 1 1 0 1 X 0 1 0 1 1 X 0 1 1 1 X X X 1 1 1 1 0 1 X X 1 1 X 0 0 1 1 1 1 0 1 0 1 0 1 1 0 0 1 1 1 1 X 1 X+1 0 1 X 1 0 0 1 0 X 1 1 1 1 X+1 1 1 X X X 1 X 1 0 0 1 X+1 1 1 X 1 1 0 X+1 1 1 X 0 1 0 0 0 0 1 1 1 0 1 0 1 1 0 X 1 1 0 0 0 X+1 1 1 1 X+1 1 1 0 X 1 0 1 X 1 X 1 X+1 X 0 1 X+1 1 X+1 X 1 X+1 0 1 0 X 1 0 X 1 1 1 1 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 X 0 X X X X 0 0 X 0 X X X 0 0 0 0 0 0 0 X 0 X 0 0 0 X 0 X X 0 X X 0 X 0 0 X 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X X 0 0 X X 0 X 0 0 X X 0 X 0 0 X X 0 0 X X X X X X 0 0 X X 0 X X 0 X 0 0 0 X 0 0 0 X X 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 X X X X X X X X X X X X X X 0 X X 0 X X X X 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 X X 0 X 0 X X X X 0 0 0 0 0 X 0 0 X 0 X X X 0 X X 0 0 0 0 X X X 0 X X 0 0 X X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X X 0 0 X X 0 X X X X 0 X 0 0 X X X 0 X X X X X X 0 X 0 0 0 0 X X 0 0 0 0 X X X 0 0 0 0 0 0 0 0 0 X 0 0 X X 0 X 0 0 0 0 X X 0 0 0 X 0 X X X 0 X X X X 0 0 0 X 0 X 0 0 X 0 0 X 0 0 X 0 X 0 X X 0 0 0 0 0 0 0 0 0 0 0 X 0 X 0 X X 0 X X 0 X 0 0 X 0 0 0 X 0 X 0 X X X 0 0 X X X X X 0 X 0 X X 0 0 0 X X 0 X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X X X 0 0 X 0 0 X 0 X 0 X X X 0 X X X X 0 X 0 0 0 0 X X 0 X 0 0 generates a code of length 56 over Z2[X]/(X^2) who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+35x^42+232x^44+453x^46+852x^48+1371x^50+1714x^52+2238x^54+2479x^56+2277x^58+1954x^60+1360x^62+758x^64+369x^66+158x^68+74x^70+37x^72+12x^74+6x^76+3x^78+1x^80 The gray image is a linear code over GF(2) with n=112, k=14 and d=42. This code was found by Heurico 1.16 in 30.9 seconds.