The generator matrix

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

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+74x^38+44x^39+261x^40+176x^41+482x^42+380x^43+481x^44+384x^45+532x^46+292x^47+413x^48+208x^49+198x^50+52x^51+52x^52+48x^54+5x^56+8x^58+3x^60+2x^62

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 0.572 seconds.