The generator matrix

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

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+56x^37+130x^38+192x^39+211x^40+228x^41+282x^42+280x^43+286x^44+272x^45+254x^46+276x^47+295x^48+274x^49+254x^50+272x^51+194x^52+102x^53+88x^54+68x^55+36x^56+26x^57+16x^58+2x^61+1x^72

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 1.4 seconds.