The generator matrix 1 0 1 1 1 0 1 1 0 1 1 X 1 1 0 1 1 0 1 1 0 1 1 1 0 1 X 1 0 X 1 1 1 1 1 1 1 1 0 0 0 1 1 0 1 1 0 1 1 1 1 0 X 1 X 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 X X+1 1 X+1 0 1 0 X+1 1 X+1 X+1 0 1 0 1 1 1 1 0 X X+1 0 X X X+1 X+1 1 1 1 X+1 0 1 0 X+1 1 X X+1 0 X+1 0 1 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 X X X X X X X X 0 X X 0 X X X X X 0 X X 0 0 0 X X 0 0 0 0 X X 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X 0 0 X 0 0 X X 0 0 0 X 0 0 X 0 X X X X 0 0 X X 0 X 0 0 X X X 0 X 0 X 0 X X X 0 0 X X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 0 0 X 0 X X 0 0 0 X X X X 0 X X 0 X X X X 0 0 X X 0 X 0 X X 0 X X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X X 0 X 0 X 0 X 0 0 X 0 X 0 X X X X 0 0 0 X 0 0 X X 0 X 0 X 0 0 X 0 0 X X X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X 0 X 0 0 X X X X 0 X X X 0 X 0 X 0 X 0 0 0 X 0 0 X X X 0 0 X X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X X X X X X 0 X X X 0 X 0 X X 0 X 0 0 X 0 X X X 0 X 0 X 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X 0 0 0 X X X 0 0 X 0 X 0 X X X 0 0 0 X 0 X 0 X X 0 0 0 X 0 X X X 0 X 0 X X X X 0 X X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X X 0 X X 0 0 X 0 0 X 0 X X X 0 X X X X 0 0 0 0 X 0 0 0 X X X X X 0 0 0 0 0 0 X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X X X 0 X 0 0 X 0 0 0 X X 0 X 0 X X 0 0 X X 0 X 0 0 0 0 X X 0 X 0 X X X 0 0 0 0 0 X X X X generates a code of length 58 over Z2[X]/(X^2) who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+99x^44+36x^46+355x^48+258x^50+866x^52+694x^54+1266x^56+1092x^58+1252x^60+704x^62+806x^64+250x^66+350x^68+38x^70+97x^72+25x^76+2x^80+1x^88 The gray image is a linear code over GF(2) with n=116, k=13 and d=44. This code was found by Heurico 1.16 in 9.81 seconds.