The generator matrix

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

generates a code of length 45 over Z2[X]/(X^4) who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+116x^37+684x^38+2498x^39+5156x^40+10916x^41+19193x^42+30288x^43+39790x^44+44210x^45+39877x^46+31622x^47+19118x^48+10706x^49+4794x^50+2012x^51+804x^52+202x^53+89x^54+28x^55+23x^56+10x^57+3x^58+4x^60

The gray image is a linear code over GF(2) with n=360, k=18 and d=148.
This code was found by Heurico 1.16 in 324 seconds.