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

generates a code of length 45 over Z2[X]/(X^3) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+15x^42+42x^43+16x^44+112x^45+15x^46+36x^47+15x^48+1x^50+2x^51+1x^86

The gray image is a linear code over GF(2) with n=180, k=8 and d=84.
This code was found by Heurico 1.16 in 0.041 seconds.