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  1  1  1  1  0  1  X  X  X  X  2  0
 0  X  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  0  2  2  0 X+2  X  X X+2 X+2  X X+2  X X+2 X+2  2 X+2  X  0 X+2 X+2  2  X
 0  0  X  0  0  0  0  0  0  0  X X+2  X X+2 X+2  X X+2  0  2  2  0 X+2 X+2  0  2 X+2 X+2 X+2  X  2  2  0  0  0  X  X  2 X+2  2  X  2
 0  0  0  X  0  0  0  X X+2  X  X  X  0 X+2  0 X+2  2  X  X  2  2  0 X+2  X X+2 X+2 X+2  0  2  X X+2 X+2  2  0  0  X  X  2  X X+2  0
 0  0  0  0  X  0  X  X  X  2  0  0  2 X+2  X X+2  X  X X+2  X  2  2  X  2 X+2  X  0  2 X+2 X+2  0  0 X+2  X  2 X+2  0  0 X+2  X  X
 0  0  0  0  0  X  X  2 X+2 X+2  0  X  X  X  0  2  X  0  X X+2  0  2  2 X+2  X  X  0  0 X+2 X+2  0  2  X  2 X+2  0  2 X+2  2 X+2 X+2
 0  0  0  0  0  0  2  2  2  2  2  0  0  2  2  2  0  0  0  0  2  2  0  0  2  0  0  0  2  0  0  2  2  0  0  2  0  2  0  2  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+235x^32+601x^34+8x^35+944x^36+184x^37+1600x^38+992x^39+2664x^40+1712x^41+2915x^42+1032x^43+1642x^44+152x^45+932x^46+16x^47+468x^48+211x^50+61x^52+12x^54+1x^58+1x^68

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 12.3 seconds.