The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+78x^33+420x^34+924x^35+1393x^36+2006x^37+2588x^38+3222x^39+3741x^40+3824x^41+3810x^42+3490x^43+2785x^44+1936x^45+1222x^46+698x^47+350x^48+178x^49+50x^50+18x^51+18x^52+10x^53+6x^54

The gray image is a code over GF(2) with n=164, k=15 and d=66.
This code was found by Heurico 1.13 in 8.76 seconds.