The generator matrix

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

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+58x^36+188x^37+212x^38+314x^39+197x^40+248x^41+218x^42+210x^43+114x^44+120x^45+57x^46+50x^47+28x^48+20x^49+4x^50+2x^51+2x^52+5x^54

The gray image is a code over GF(2) with n=164, k=11 and d=72.
This code was found by Heurico 1.16 in 0.117 seconds.