The generator matrix

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

generates a code of length 45 over Z2[X]/(X^3) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+49x^36+68x^37+137x^38+186x^39+365x^40+342x^41+808x^42+586x^43+1219x^44+712x^45+1228x^46+588x^47+770x^48+356x^49+343x^50+164x^51+133x^52+52x^53+35x^54+10x^55+15x^56+6x^57+8x^58+2x^59+7x^60+1x^64+1x^66

The gray image is a linear code over GF(2) with n=180, k=13 and d=72.
This code was found by Heurico 1.16 in 2.34 seconds.