The generator matrix

 1  0  1  1  1 X^2  X  1  1  1 X^2+X  1  1  1 X^2  1  1 X^2  1  1 X^2+X  1  1 X^2+X  1  1  1  1  1  1  1  1  X  0  1 X^2  1  1  X X^2  X  1  1 X^2 X^2+X
 0  1  1 X^2+X X^2+X+1  1  1 X+1  X X^2+1  1  X  X X+1  1 X^2 X+1  1  0  1  1  0  1  1  0 X^2+X X^2  X  0 X^2+X X^2 X^2+X  0  0 X+1  1 X^2+X X^2+1  1  0  X X^2  1  X  1
 0  0  X  0 X^2+X  X  X X^2  X X^2  0 X^2+X  0 X^2 X^2+X  X  X  0  0 X^2+X  0 X^2+X X^2 X^2+X  0 X^2  X  X  0 X^2 X^2+X X^2+X X^2  X  0 X^2+X  0 X^2 X^2+X  X X^2+X X^2  X X^2+X  0
 0  0  0 X^2  0 X^2 X^2 X^2  0 X^2  0  0 X^2  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2  0  0 X^2  0  0 X^2 X^2  0  0 X^2  0 X^2 X^2 X^2  0  0  0  0 X^2 X^2  0  0 X^2
 0  0  0  0 X^2 X^2  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2  0  0 X^2 X^2 X^2  0  0  0 X^2 X^2  0 X^2  0  0 X^2  0 X^2  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0 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+118x^41+130x^42+168x^43+80x^44+140x^45+90x^46+104x^47+25x^48+58x^49+46x^50+40x^51+4x^52+4x^53+2x^54+4x^55+2x^56+4x^58+4x^59

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 12.3 seconds.