The generator matrix

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

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+244x^38+464x^39+953x^40+1032x^41+1330x^42+1500x^43+1857x^44+1688x^45+1804x^46+1548x^47+1455x^48+1000x^49+718x^50+388x^51+264x^52+56x^53+60x^54+4x^55+11x^56+4x^58+3x^60

The gray image is a linear code over GF(2) with n=180, k=14 and d=76.
This code was found by Heurico 1.13 in 2.8 seconds.