The generator matrix

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

generates a code of length 45 over Z2[X]/(X^3) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+74x^40+234x^42+245x^44+182x^46+186x^48+62x^50+34x^52+2x^54+2x^56+1x^60+1x^64

The gray image is a linear code over GF(2) with n=180, k=10 and d=80.
This code was found by Heurico 1.16 in 0.0655 seconds.