The generator matrix

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

generates a code of length 41 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+84x^33+510x^34+1872x^35+4653x^36+9340x^37+19888x^38+29264x^39+43011x^40+44468x^41+43272x^42+29856x^43+19827x^44+9332x^45+4342x^46+1584x^47+584x^48+136x^49+80x^50+16x^51+20x^52+2x^54+2x^58

The gray image is a code over GF(2) with n=328, k=18 and d=132.
This code was found by Heurico 1.16 in 318 seconds.