The generator matrix

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

generates a code of length 45 over Z2[X]/(X^3) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+55x^42+104x^43+124x^44+62x^45+49x^46+44x^47+26x^48+2x^49+6x^50+8x^51+17x^52+4x^53+10x^54

The gray image is a linear code over GF(2) with n=180, k=9 and d=84.
This code was found by Heurico 1.16 in 0.0262 seconds.