The generator matrix

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

generates a code of length 57 over Z2[X]/(X^2) who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+105x^46+415x^48+677x^50+864x^52+995x^54+1063x^56+1075x^58+1004x^60+852x^62+602x^64+331x^66+136x^68+55x^70+6x^72+5x^74+4x^76+1x^78+1x^88

The gray image is a linear code over GF(2) with n=114, k=13 and d=46.
This code was found by Heurico 1.16 in 8.21 seconds.