The generator matrix

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

generates a code of length 41 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+52x^36+228x^37+172x^38+330x^39+224x^40+270x^41+120x^42+224x^43+97x^44+156x^45+63x^46+48x^47+25x^48+18x^49+10x^50+4x^51+1x^52+3x^54+2x^55

The gray image is a code over GF(2) with n=164, k=11 and d=72.
This code was found by Heurico 1.11 in 0.0621 seconds.