The generator matrix

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

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+108x^36+516x^37+1029x^38+1920x^39+2688x^40+3896x^41+4932x^42+6012x^43+7527x^44+7762x^45+7737x^46+6530x^47+5162x^48+3954x^49+2500x^50+1642x^51+813x^52+434x^53+213x^54+86x^55+53x^56+14x^57+4x^58+2x^59+1x^62

The gray image is a linear code over GF(2) with n=180, k=16 and d=72.
This code was found by Heurico 1.13 in 31.9 seconds.