The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+280x^33+1500x^34+4244x^35+9478x^36+18184x^37+30926x^38+41732x^39+48089x^40+43338x^41+31527x^42+18146x^43+9016x^44+3648x^45+1412x^46+432x^47+132x^48+36x^49+11x^50+6x^51+4x^52+2x^57

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 314 seconds.