The generator matrix

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

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+136x^41+81x^42+160x^43+141x^44+112x^45+78x^46+120x^47+61x^48+58x^49+15x^50+36x^51+12x^53+1x^54+2x^56+2x^57+4x^59+3x^60+1x^62

The gray image is a linear code over GF(2) with n=180, k=10 and d=82.
This code was found by Heurico 1.16 in 3.44 seconds.