The generator matrix

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

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+136x^36+108x^37+258x^38+204x^39+289x^40+184x^41+248x^42+152x^43+208x^44+92x^45+82x^46+28x^47+25x^48+20x^50+12x^52+1x^56

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 0.15 seconds.