The generator matrix

 1  0  0  0  1  1  1 X^2  1  1 X^2+X  1  1 X^2+X  X  1 X^2 X^2+2  2  1  1  1  1 X^2+X+2  0  0  1  X  1  1  2  0  1  1  2  1  1 X^2+X+2  1  1
 0  1  0  0  0  3  3  1 X^2+X+2 X+2 X^2+X+2 X+1 X+1  1  1 X^2+2  1  1  1 X^2+X+2 X+1 X^2+1 X^2+X+2 X^2+X  X X+2 X^2+3  0 X^2+3  3 X^2+X+2  2 X^2+2 X^2+X  1  0 X+2  1 X+1  0
 0  0  1  0  1  1 X^2 X^2+1  0  3  1 X^2+1  2 X+3 X^2 X^2+1  X  X X^2+1 X+1 X+3 X^2+X X+2 X^2+2  1  1 X+3 X^2+2  3 X^2+X+2  1  1 X+3 X^2+2 X^2 X^2+1 X+1 X^2+X+3 X^2+X+3 X+1
 0  0  0  1  1 X^2 X^2+1  1 X^2+X+3 X+2 X^2+1 X^2+1 X^2+X+2 X^2+X X+3 X^2+X+3 X^2+X+3 X^2+X+2 X+3 X^2+2 X^2  2 X^2+2  1 X^2+X  3 X+3  1  X  0  2  2 X+3 X^2+2  X X^2+X X^2+2 X^2 X+1 X^2+X+1
 0  0  0  0 X^2+2  0 X^2+2  0  2  2  2  2  0  0  0  2 X^2  2 X^2+2 X^2 X^2+2 X^2 X^2+2 X^2 X^2+2 X^2 X^2+2  2 X^2  2 X^2+2 X^2  0  0 X^2  0  0  2 X^2+2 X^2

generates a code of length 40 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+350x^33+1398x^34+4268x^35+9255x^36+18764x^37+30239x^38+42244x^39+47889x^40+43524x^41+31211x^42+18500x^43+8577x^44+3974x^45+1333x^46+422x^47+130x^48+42x^49+11x^50+4x^51+4x^52+2x^53+2x^55

The gray image is a code over GF(2) with n=320, k=18 and d=132.
This code was found by Heurico 1.16 in 301 seconds.