The generator matrix

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

generates a code of length 45 over Z2[X]/(X^3) who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+60x^41+187x^42+120x^43+165x^44+100x^45+150x^46+32x^47+72x^48+24x^49+35x^50+36x^51+23x^52+8x^53+4x^54+4x^55+3x^56

The gray image is a linear code over GF(2) with n=180, k=10 and d=82.
This code was found by Heurico 1.11 in 0.031 seconds.