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

generates a code of length 46 over Z2[X]/(X^3) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+24x^42+34x^43+51x^44+106x^45+115x^46+88x^47+41x^48+16x^49+14x^50+6x^51+3x^52+6x^53+6x^54+1x^86

The gray image is a linear code over GF(2) with n=184, k=9 and d=84.
This code was found by Heurico 1.16 in 0.0551 seconds.