The generator matrix

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

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+133x^40+80x^42+312x^44+264x^46+162x^48+32x^50+24x^52+8x^54+7x^56+1x^80

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 0.0879 seconds.