The generator matrix

 1  0  0  0  1  1  1 X^2  1  1  X X^3+X^2+X  1 X^3+X^2+X  1  1  1  X  1  1  1  1 X^3+X^2  1 X^3+X^2  1 X^2+X X^2 X^2+X X^3+X^2  X X^3+X^2  1  1  1  1  X X^3+X^2  1 X^2  1  1  1 X^2+X  X  1
 0  1  0  0  0 X^3+1 X^3+1  1 X^3+X^2+X X^3+X X^2+X  1 X^2+1  1 X^3+1 X^2+X+1 X^3+X  1 X^2 X^3+X+1 X^3+X^2+X X^3+X X^3+X^2+X X^2+X+1  1 X^3+X+1 X^3 X^2  1  1  1  0  1  0 X^3+X^2+X X^3+X^2+1  1 X^3 X^2  1 X^3+X X^3+X^2+1 X^3+X  1  1  0
 0  0  1  0  1  1 X^2 X^2+1  0 X^3+1  1 X^2 X^3+X^2+X+1 X^3+X^2+X+1 X^3+X^2+X  X X+1 X^3 X+1  X  0 X^2+X  1 X^2+X+1 X^3+1 X+1  1  0 X^3+X^2+X X^3+X^2+1 X+1  1  X X^2+X+1  X X^3+X^2+X  1 X^3+X X^3+X^2+X X^2+X+1 X^2 X^3+X^2 X^2+X+1 X^3+X^2+X+1 X^3+1  0
 0  0  0  1  1 X^2 X^2+1  1 X^2+X+1 X^3+X  1 X^2+1 X^2+X+1  X X^2+X X+1 X^3+X^2+1 X^3+X+1 X^3  0 X^2 X^3+1 X^3+X^2 X^3+X^2+X+1 X+1  0 X^3+X+1  1 X^3+X^2+X  1 X^3+X X^3+X+1 X^3+X^2  1 X^3+X+1 X^2+X X^3+X^2  1  0 X+1 X^3+X+1 X^3+X X^3+X X^2 X^3+X^2+1  0
 0  0  0  0 X^3+X^2  0 X^3+X^2  0 X^3 X^3 X^3 X^3  0  0  0 X^3  0 X^3+X^2 X^2 X^3+X^2 X^2 X^2 X^3+X^2 X^2 X^2 X^3 X^3+X^2 X^3 X^3+X^2 X^2 X^2  0 X^3+X^2 X^3  0 X^2 X^2 X^3+X^2  0 X^3 X^2 X^3  0 X^3+X^2  0  0

generates a code of length 46 over Z2[X]/(X^4) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+136x^38+846x^39+2322x^40+5792x^41+10549x^42+19492x^43+29958x^44+40486x^45+43012x^46+40058x^47+30255x^48+20320x^49+10382x^50+5150x^51+2110x^52+880x^53+268x^54+80x^55+22x^56+8x^57+5x^58+6x^59+4x^60+2x^61

The gray image is a linear code over GF(2) with n=368, k=18 and d=152.
This code was found by Heurico 1.16 in 338 seconds.