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

generates a code of length 46 over Z2[X]/(X^3) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+122x^36+482x^38+4x^39+772x^40+92x^41+1195x^42+596x^43+2100x^44+1356x^45+2906x^46+1356x^47+2203x^48+596x^49+1236x^50+92x^51+670x^52+4x^53+404x^54+136x^56+49x^58+11x^60+1x^76

The gray image is a linear code over GF(2) with n=184, k=14 and d=72.
This code was found by Heurico 1.16 in 12.6 seconds.