The generator matrix

 1  0  1  1  1 X+2  1  1  0  1  1 X+2  0  1  1 X+2  1  1  0  1  1 X+2  1  1  1  1  0  1  1 X+2  1 X+2  1  1  1  1  1  1  1  X  1
 0  1 X+1 X+2  1  1  0 X+1  1 X+2  3  1  1  0  3  1 X+2 X+1  1  0 X+1  1 X+2  3  0 X+1  1  0  3  1  0  1 X+2 X+1  3  0 X+1 X+2 X+2  2  0
 0  0  2  0  0  0  0  0  0  0  0  0  0  0  2  0  0  0  0  2  2  2  2  2  2  2  0  2  0  2  2  2  2  2  2  0  0  0  0  2  0
 0  0  0  2  0  0  0  0  0  0  0  0  0  2  0  2  2  0  2  0  2  0  2  2  2  2  2  0  0  2  0  2  2  0  0  2  2  0  0  0  0
 0  0  0  0  2  0  0  0  0  0  0  2  2  0  2  2  2  2  2  2  2  0  0  0  0  2  2  2  0  2  2  2  2  0  2  0  2  2  0  2  0
 0  0  0  0  0  2  0  0  0  0  2  2  2  0  2  0  2  0  0  0  2  0  0  2  2  0  2  2  2  0  2  0  2  0  0  2  2  2  2  2  0
 0  0  0  0  0  0  2  0  0  2  2  0  0  2  2  0  0  2  0  0  2  0  2  0  0  2  2  2  0  2  0  2  0  2  0  0  2  2  0  2  0
 0  0  0  0  0  0  0  2  0  2  0  0  0  0  0  0  2  2  2  2  0  0  2  0  2  2  2  2  2  0  2  2  0  0  0  2  2  2  2  0  0
 0  0  0  0  0  0  0  0  2  0  2  2  0  0  2  2  2  2  0  0  0  2  2  2  0  2  0  2  2  2  0  0  2  0  0  0  2  0  0  2  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+60x^32+48x^33+106x^34+164x^35+194x^36+612x^37+456x^38+1052x^39+723x^40+1348x^41+750x^42+1124x^43+446x^44+524x^45+176x^46+212x^47+79x^48+28x^49+38x^50+8x^51+30x^52+8x^54+1x^56+2x^58+2x^60

The gray image is a code over GF(2) with n=164, k=13 and d=64.
This code was found by Heurico 1.16 in 2.14 seconds.