The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X X X 1 X 1 0 1 1 X 1 1 1 1 0 X 0 X 0 0 X 1 0 X X 1 1 1 X 0 0 1 1 1 1 1 0 X 0 0 X 1 X 1 1 1 0 1 0 0 0 1 1 1 0 X X+1 X+1 1 1 0 X 0 X+1 1 0 1 0 X X 0 X+1 X 1 X 1 X 1 1 1 1 X 1 1 0 1 0 1 0 X+1 1 X+1 0 0 1 1 X 1 1 1 1 0 1 0 0 0 1 0 1 1 0 1 0 1 1 X 0 1 1 0 1 1 X+1 X+1 1 1 X X+1 1 X 0 X 1 1 0 X 1 X X 1 X+1 X+1 1 0 X X+1 0 1 0 X+1 1 0 X+1 X 1 X X X+1 1 0 1 0 0 0 0 1 1 0 1 1 1 0 X+1 X 1 X 1 1 X 1 X+1 0 0 0 X+1 X+1 X 1 1 0 X+1 X 1 1 1 1 0 1 X+1 X+1 1 1 1 0 1 0 X 1 X 0 0 1 X X 1 X 0 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 X X X X X X X X X X X X X X X X X X 0 0 0 X 0 X 0 0 0 0 X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 X 0 X X X X X X 0 0 0 X X 0 0 0 0 X X X 0 0 0 X X 0 0 0 0 X X 0 X 0 X 0 X 0 X 0 X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X X X 0 0 0 0 0 X X X X X X X 0 X X X X X 0 0 X 0 X 0 0 0 X 0 0 X X X 0 0 0 X 0 0 0 X X 0 0 0 0 0 0 0 0 X 0 0 X 0 X X 0 0 0 X 0 X X X X X 0 X X X X X 0 X X 0 X X 0 0 X X 0 0 X 0 0 0 X 0 X X X 0 X X X 0 X 0 0 0 0 0 0 0 0 0 X X X X X X X X 0 X 0 X 0 0 X 0 X X 0 0 X X 0 X 0 0 0 0 X X 0 0 X 0 X 0 0 0 0 X X 0 0 0 X X X 0 0 0 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+51x^46+60x^47+168x^48+210x^49+249x^50+316x^51+365x^52+402x^53+436x^54+508x^55+535x^56+548x^57+561x^58+544x^59+489x^60+524x^61+445x^62+444x^63+325x^64+290x^65+224x^66+164x^67+133x^68+66x^69+74x^70+12x^71+27x^72+8x^73+5x^74+4x^76+2x^78+1x^82+1x^92 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 8.44 seconds.