The generator matrix

 1  0  1  1  1  0  1  1  0  1  2  1  1 X+2  1  1  1  X  1  0  1  1  2  2  X  1  1  0  1 X+2  1  1  1  2  1  1  1  X  1  1  1
 0  1  1  0 X+1  1 X+3  0  1  3  1  X X+1  1 X+2 X+2 X+3  1  3  1 X+2 X+2  1  1  1  3  2  1 X+2  1 X+3  3  0  1  0  3  X  2  X  0  2
 0  0  X  0  0  0  0  X  X X+2 X+2  2  X X+2  X  0  X X+2  0  2  0 X+2  0  2  2  0 X+2 X+2 X+2 X+2  2  0  X  X  2  X X+2  0  0 X+2  0
 0  0  0  X  0 X+2 X+2  X  X  X  2 X+2  X X+2  X  2  0  2  0  0  2  X  X  X  0  0  0 X+2  X  X  X  X  0 X+2  X X+2  2 X+2  X  X X+2
 0  0  0  0  2  0  0  0  0  0  2  0  0  0  0  0  0  2  2  0  0  2  2  0  2  2  2  2  2  2  0  2  0  2  0  2  2  2  0  0  2
 0  0  0  0  0  2  0  0  0  2  0  2  0  2  2  2  0  0  2  2  0  2  2  0  2  0  2  2  0  0  0  2  2  0  2  2  0  2  0  0  0
 0  0  0  0  0  0  2  0  2  0  0  0  0  2  0  2  2  2  2  2  2  2  2  0  2  2  0  0  0  2  0  0  0  0  0  0  0  2  2  2  2
 0  0  0  0  0  0  0  2  0  0  0  0  0  0  2  2  2  2  2  2  2  2  0  0  0  0  2  2  0  0  2  0  2  2  2  0  2  2  2  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+55x^32+82x^33+247x^34+368x^35+551x^36+914x^37+1286x^38+1664x^39+1989x^40+2116x^41+1917x^42+1704x^43+1295x^44+924x^45+585x^46+336x^47+186x^48+58x^49+49x^50+24x^51+17x^52+2x^53+8x^54+1x^56+3x^58+1x^60+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 7.5 seconds.