The generator matrix

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

generates a code of length 45 over Z2[X]/(X^3) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+37x^38+120x^39+131x^40+360x^41+260x^42+594x^43+356x^44+502x^45+348x^46+520x^47+247x^48+316x^49+95x^50+98x^51+28x^52+30x^53+23x^54+12x^55+5x^56+8x^57+4x^58+1x^66

The gray image is a linear code over GF(2) with n=180, k=12 and d=76.
This code was found by Heurico 1.16 in 0.552 seconds.