The generator matrix

1 0 0 0 0 0 1 1 1 X 1 1 0 0 1 1 1 1 X 1 X 1 X 1 1 X X 0 0 1 1 1 1 1 1 1 0 0 X X 1 1 0 0 1 X
0 1 0 0 0 0 0 0 0 0 0 0 X 1 1 X+1 1 X+1 1 X+1 X X 1 X+1 1 1 X 1 1 1 X 0 X+1 X X+1 0 1 X X 0 1 1 0 1 0 0
0 0 1 0 0 0 0 0 X X 1 1 1 X 0 0 X+1 X+1 X+1 1 1 1 1 X X+1 X 1 1 0 0 1 X+1 0 0 0 X+1 X 1 X 0 X+1 X+1 1 X+1 X 1
0 0 0 1 0 0 1 X 1 1 0 X+1 1 1 X X+1 X+1 0 0 1 1 X X X 0 1 0 X+1 0 X+1 0 X+1 1 X+1 X+1 1 1 X X 1 X X X+1 0 X+1 X
0 0 0 0 1 0 1 X+1 0 1 X X+1 1 1 0 1 0 X 1 1 0 X+1 X 1 X+1 X X+1 X+1 X X X X 0 1 X+1 X X X 1 X+1 X+1 X 1 X+1 X X+1
0 0 0 0 0 1 X 1 1 X+1 1 X+1 0 X X+1 1 1 X 0 0 1 X 1 X X+1 1 1 1 X 0 X+1 1 1 X+1 0 0 0 X+1 X+1 0 X 1 0 X+1 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+60x^37+147x^38+168x^39+205x^40+252x^41+250x^42+284x^43+296x^44+276x^45+254x^46+274x^47+307x^48+264x^49+269x^50+238x^51+176x^52+152x^53+87x^54+54x^55+39x^56+20x^57+16x^58+6x^59+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 1.10 in 0.516 seconds.