The generator matrix

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

generates a code of length 46 over Z2[X]/(X^2) who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+58x^37+159x^38+158x^39+210x^40+222x^41+249x^42+302x^43+251x^44+304x^45+349x^46+280x^47+226x^48+272x^49+273x^50+240x^51+160x^52+150x^53+107x^54+42x^55+40x^56+18x^57+13x^58+2x^59+5x^60+1x^62+3x^64+1x^66

The gray image is a linear code over GF(2) with n=92, k=12 and d=37.
This code was found by Heurico 1.16 in 75 seconds.