The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X X 1 1 1 1 X 0 X 1 1 0 0 1 1 X 1 0 0 0 1 0 1 1 1 X 0 0 0 0 1 X 0 1 X 0 1 1 1 X 1 1 X 0 1 1 0 1 0 1 0 1 1 0 0 1 X+1 1 X 1 0 X 1 X+1 1 1 X 0 X+1 1 0 X+1 1 1 1 1 0 1 0 1 0 X+1 1 0 1 1 0 1 0 1 X 1 1 1 X X X+1 X 1 1 1 1 0 X+1 0 0 1 1 1 0 1 0 1 1 0 X 1 X+1 X+1 X X+1 0 1 0 1 0 X X+1 1 X+1 X+1 X+1 X 0 1 0 1 X+1 1 X+1 X 1 1 1 1 X+1 X 0 1 X X X 0 0 X 1 1 X+1 1 X+1 X+1 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X 0 0 X X X X 0 0 X 0 0 X X X X 0 0 0 X X X 0 X X X 0 0 X 0 0 X X 0 0 0 X X X 0 0 0 0 0 0 X 0 0 0 0 0 X X X 0 X X 0 0 X 0 X X X X 0 0 X X 0 X 0 0 0 X X X X X X X X 0 X X 0 X 0 X X 0 0 0 X 0 0 X X 0 0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 X 0 X 0 0 0 X X X X 0 X 0 X X 0 X 0 X 0 X 0 X X X 0 X 0 0 0 X X X 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 X 0 X 0 0 X X X X 0 X X 0 X X 0 0 X X X X X X 0 0 0 X X X X 0 0 X X X 0 0 0 X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X X X X X X 0 0 0 X X 0 0 X 0 X 0 0 0 X X 0 0 X X X X X X X 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 X X X 0 0 X 0 0 X X X 0 0 0 X 0 X X X 0 0 0 X 0 0 0 0 X 0 X 0 X X 0 X X X 0 X X 0 X X X X 0 X X 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X 0 X 0 X X 0 0 0 X X 0 0 X 0 X X X X X 0 X 0 0 X X X 0 0 X X 0 0 0 X 0 X 0 0 X X X X generates a code of length 58 over Z2[X]/(X^2) who´s minimum homogenous weight is 46. Homogenous weight enumerator: w(x)=1x^0+77x^46+284x^48+450x^50+731x^52+872x^54+1139x^56+1158x^58+1057x^60+966x^62+656x^64+454x^66+189x^68+96x^70+29x^72+18x^74+7x^76+5x^78+3x^80 The gray image is a linear code over GF(2) with n=116, k=13 and d=46. This code was found by Heurico 1.16 in 8.87 seconds.