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 1 X 1 1 1 1 0 0 1 1 X 1 1 X 1 1 0 1 1 1 X 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 X+1 1 0 X+1 X X+1 1 1 X+1 X 1 X+1 0 0 1 X+1 1 X+1 1 X+1 0 X+1 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 0 0 X X X 0 X X 0 0 0 0 0 X X 0 X 0 X 0 0 X 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 X X X X 0 X X X X X X 0 X 0 0 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 X 0 X 0 X 0 0 0 X X 0 0 X X X 0 0 X 0 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 0 0 X X 0 X 0 X 0 0 X 0 X 0 0 X 0 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 X X 0 X X X 0 0 X 0 0 0 0 0 0 X 0 X 0 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 0 0 X X X 0 X X 0 X X X X X X 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 X 0 X X 0 0 0 0 0 0 0 0 0 X 0 X X X 0 X 0 0 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 X X X 0 0 X X 0 0 0 0 X 0 0 0 X 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 0 X X X 0 X X X X 0 X 0 0 X X 0 0 0 X 0 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 0 X X 0 X X X 0 X X X 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 44. Homogenous weight enumerator: w(x)=1x^0+150x^44+36x^46+549x^48+282x^50+1252x^52+1262x^54+2452x^56+1976x^58+2808x^60+1824x^62+1823x^64+650x^66+872x^68+110x^70+256x^72+4x^74+69x^76+7x^80+1x^108 The gray image is a linear code over GF(2) with n=118, k=14 and d=44. This code was found by Heurico 1.16 in 37.1 seconds.