The generator matrix

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

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+32x^32+56x^33+331x^34+278x^35+925x^36+478x^37+1850x^38+730x^39+3055x^40+1002x^41+2834x^42+790x^43+2100x^44+438x^45+814x^46+238x^47+269x^48+70x^49+49x^50+12x^51+15x^52+4x^53+8x^54+3x^56+2x^58

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 6.07 seconds.