The generator matrix

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

generates a code of length 41 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+46x^32+120x^33+236x^34+420x^35+580x^36+884x^37+1256x^38+1702x^39+2027x^40+2046x^41+1900x^42+1558x^43+1315x^44+942x^45+546x^46+370x^47+198x^48+98x^49+60x^50+46x^51+25x^52+6x^53+2x^54

The gray image is a code over GF(2) with n=164, k=14 and d=64.
This code was found by Heurico 1.16 in 7.63 seconds.