The generator matrix

 1  0  0  0  0  0  1  1  1  0  1  1  X  1  0  1  1  1  1  0  X  0  X  1  1  X  1  1  X  X  1  1  1  X  1  1  0  X  0  0  0  X  0  X  1  0  1  X  X  1  1  0  1  1  1  1  1  0  1
 0  1  0  0  0  0  0  0  0  0  0  0  0  0  X  1  1  1  1  1  1  X  1  X X+1  1  0  1  1  1  X  X X+1  0  X  1  1  1  1  0  1  0  1  X  X  X  X  1  1  1 X+1  0  0  1  X  1  X  0  X
 0  0  1  0  0  0  0  0  0  0  1  1  1 X+1  1  X X+1 X+1  0  1  1  1  X X+1  X  0  X  1 X+1  1 X+1  X  1  1  X  X  1  X X+1  0  1  0  0  0  X  1  0 X+1  1 X+1  0  0  X  0  1  1  X  1  1
 0  0  0  1  0  0  0  1  1  1  X  1 X+1 X+1 X+1  0  X  0 X+1 X+1  1  X X+1  0  X  0  X  1  1  X  0  1  X X+1  0  0  1  1 X+1  X  0  0  0  1  1 X+1  1 X+1 X+1  1 X+1  1  0  0  1  1 X+1  0  0
 0  0  0  0  1  0  1  1  0 X+1  X  0  X X+1  1  X X+1  0  X  1  X  1  0 X+1 X+1  1 X+1  X  1 X+1  0  1  1  X  1 X+1  0  1  X  1  X  1  X  1  X  0 X+1  X X+1  1  1  0  0  1  X  1  X  X  X
 0  0  0  0  0  1  1  0 X+1 X+1  1  X X+1 X+1  X X+1  1  0  0 X+1  X  1 X+1  0  0 X+1 X+1 X+1  1  0 X+1  X  X  0  0 X+1  1  1  1  1  0  1  1  X  X  1  1  0  0  1  X X+1 X+1  0 X+1  X  1  X  X
 0  0  0  0  0  0  X  0  X  X  X  0  X  X  0  X  X  0  0  X  0  X  X  0  0  X  X  X  X  0  X  0  X  X  X  0  0  0  0  0  X  0  0  X  X  0  0  0  X  0  X  0  0  X  0  0  X  0  X
 0  0  0  0  0  0  0  X  0  X  0  X  X  0  0  0  0  X  X  X  0  X  X  0  0  0  X  X  0  X  X  0  X  0  0  X  0  X  X  X  X  0  X  X  0  X  0  X  0  0  0  X  X  0  0  0  0  X  0

generates a code of length 59 over Z2[X]/(X^2) who´s minimum homogenous weight is 47.

Homogenous weight enumerator: w(x)=1x^0+114x^47+205x^48+282x^49+399x^50+506x^51+596x^52+692x^53+857x^54+932x^55+961x^56+974x^57+1050x^58+1128x^59+1071x^60+1050x^61+1018x^62+972x^63+879x^64+704x^65+603x^66+436x^67+346x^68+250x^69+157x^70+134x^71+33x^72+16x^73+12x^74+2x^75+3x^76+1x^112

The gray image is a linear code over GF(2) with n=118, k=14 and d=47.
This code was found by Heurico 1.16 in 91.3 seconds.