The generator matrix

 1  0  0  0  0  1  1  1 X+2  1  1  X  0  1  1  1  X X+2  X  X X+2  1  0  1  1  2 X+2  1  1  2  2  1  2  2  0  1  0  2  1  1  1
 0  1  0  0  0  0  2  0  2 X+1  3  1  1  1 X+1  1  X  1  1 X+2  2 X+2  1  1  X  1  X  1  2  1  1  X  1 X+2  1 X+3  1  1  1 X+2  0
 0  0  1  0  0  0  1  1  1  3 X+1  2  X  X  1  2  1  3 X+1  0  1  2  X X+2  0 X+1 X+2  3  3  1  2  3  3 X+2  2  0  1 X+2  1 X+1  0
 0  0  0  1  0  1  1  X X+3  2 X+3 X+2 X+3  0 X+2 X+1  1  2 X+1  1  X  3 X+3  2 X+1 X+3  0  1  3  X X+1  0  3  1 X+3  1  0 X+2 X+3  X  0
 0  0  0  0  1  1  X X+1 X+1  1 X+1 X+1  1  X  2  1 X+2  0  0  1  3  2  2 X+1 X+3  3  1  3 X+1  1  0 X+2 X+3  3 X+1  2  2  X  X  3  0
 0  0  0  0  0  2  0  2  0  0  2  2  0  2  2  0  2  2  0  2  0  2  2  0  0  2  2  0  0  2  2  0  0  0  2  0  0  0  0  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+95x^32+414x^33+959x^34+1728x^35+2589x^36+4010x^37+4937x^38+6628x^39+7241x^40+8100x^41+7227x^42+6916x^43+5275x^44+3976x^45+2413x^46+1564x^47+829x^48+358x^49+142x^50+92x^51+32x^52+6x^53+2x^54+2x^56

The gray image is a code over GF(2) with n=164, k=16 and d=64.
This code was found by Heurico 1.13 in 32.7 seconds.