The generator matrix

 1  0  1  1  1  0  1  1  2  1  1  0  1 X+2  1  1  1  1  1  X X+2  1  1  X  1  0  1  1  1  1  0  X  1 X+2  0  1  1  1  0  1  1
 0  1  1  0  1  1 X+1  2  1 X+1  0  1 X+3  1 X+2  1  X  X  3  1  1 X+3 X+3  1  X  X X+2  X X+3  0  1  1  0  1  X  1  1 X+1  2 X+2  0
 0  0  X  0  0  0  0  X  X  X  X  X  X  X X+2  0  2  X X+2 X+2  2  0  0  0 X+2  2  0  2  2  0 X+2  2  0  2  X  X  0  0  X  X  0
 0  0  0  X  0 X+2  X  X X+2  X  2  2  2  0  0  2 X+2 X+2 X+2  X  2  0  0  X  X X+2  2  0 X+2 X+2 X+2  X  0 X+2  X  X  0  X  0  X  0
 0  0  0  0  X  0  X X+2 X+2  2  X X+2  0  X  X X+2  2  X  0 X+2  2 X+2 X+2  0  X  X  2  X  0  X  0  0  X X+2 X+2  2  2  2  2  2  0
 0  0  0  0  0  2  0  0  0  0  0  0  2  2  2  2  2  0  0  0  0  2  0  0  2  2  2  2  2  2  0  0  2  0  2  2  2  2  0  0  0
 0  0  0  0  0  0  2  2  2  2  0  0  2  2  2  2  2  0  0  0  2  0  2  2  2  2  0  0  0  2  2  0  0  0  0  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+88x^32+106x^33+232x^34+396x^35+642x^36+978x^37+1319x^38+1602x^39+1828x^40+1998x^41+1892x^42+1706x^43+1214x^44+910x^45+619x^46+374x^47+235x^48+96x^49+92x^50+18x^51+24x^52+8x^53+5x^54+1x^62

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 7.52 seconds.