The generator matrix

 1  0  1  1  1  0  1  1  X  1 X+2  1  1  1  0  1  1  2  X  X  1 X+2  1  X  1  1  1  0  1  1  2  1  X  2  1  1  1  1  1  X  1
 0  1  1  0 X+1  1  X X+3  1 X+2  1  3  0 X+1  1  2 X+3  1  1  1  1  1  3  1  X X+3 X+1  1 X+2 X+1  1 X+2  2  1  0 X+3  1  X  X X+2  2
 0  0  X X+2  0 X+2  X X+2  X  0  2  0  2  0  0  X X+2 X+2  X  X  X  2  0  0  X X+2  0  0  2  2  X  0  X X+2  2 X+2  X  X  2 X+2 X+2
 0  0  0  2  0  0  0  0  0  0  0  0  0  2  2  0  2  2  0  0  2  0  2  2  2  2  0  2  0  2  0  0  2  2  0  2  2  2  0  0  2
 0  0  0  0  2  0  0  0  0  0  0  2  0  2  0  0  0  0  2  2  2  2  0  2  2  2  2  0  0  0  0  0  2  2  2  0  0  0  2  2  0
 0  0  0  0  0  2  0  0  0  0  0  2  2  2  0  2  2  2  2  0  0  2  2  2  0  2  2  2  0  0  2  2  0  2  0  0  0  0  0  2  0
 0  0  0  0  0  0  2  0  0  0  0  0  0  2  2  2  2  2  2  2  0  2  0  0  0  0  0  2  2  2  2  2  2  2  2  0  0  2  0  2  2
 0  0  0  0  0  0  0  2  0  2  2  0  2  0  2  2  0  2  2  0  0  2  2  0  0  2  0  0  0  0  2  2  2  0  2  2  0  2  2  2  2
 0  0  0  0  0  0  0  0  2  0  0  2  2  2  0  2  2  0  0  2  0  2  2  2  2  0  0  0  2  2  0  2  0  0  2  2  0  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+135x^32+8x^33+298x^34+184x^35+830x^36+632x^37+1594x^38+1336x^39+2309x^40+1800x^41+2196x^42+1384x^43+1686x^44+616x^45+708x^46+168x^47+363x^48+16x^49+66x^50+42x^52+2x^54+7x^56+2x^60+1x^64

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 7.63 seconds.