The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  X  2  X  1  X  X  X  X  X  1
 0  X  0  0  0  0  0  0  2  2  X X+2  X  0  X X+2  X X+2  2  2  0  X  X  2  X  X X+2  2  0  2  2  X  X  X  2  0  2  0  X X+2  0
 0  0  X  0  0  0  0  0  0  0  0  0  2 X+2  X X+2 X+2 X+2 X+2  X X+2 X+2  X  X  2  X  0  2  X X+2  X  2 X+2  X X+2  2  0 X+2 X+2  X  0
 0  0  0  X  0  0  2 X+2  X  X  X  X  2 X+2  2  X  0  2 X+2  2 X+2  X  X  X  X  0  0  0 X+2  0  2 X+2  0  X  2 X+2  2  X X+2  2  0
 0  0  0  0  X  0 X+2 X+2  X  2 X+2 X+2  0  X X+2 X+2  2  2  X  X  0  2  2  2  0 X+2 X+2 X+2  X  X  0  2  X X+2  X  0 X+2  X X+2  2  0
 0  0  0  0  0  X  X  2 X+2  X X+2  2  X  X  2 X+2  2  X  0  0  2  2  X X+2  X  X X+2 X+2 X+2  2  0  0 X+2  0 X+2 X+2  2  2  0 X+2  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+51x^32+88x^33+129x^34+262x^35+298x^36+412x^37+646x^38+718x^39+984x^40+1102x^41+920x^42+832x^43+544x^44+358x^45+303x^46+208x^47+148x^48+82x^49+47x^50+26x^51+22x^52+6x^53+2x^54+2x^55+1x^62

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 3.04 seconds.