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  1  X  X  1  1  1
 0  X  0  0  0  0  0  0  0  X X+2  X  X X+2  2  0  X X+2  2  X  2  2  0  0  2 X+2  2  X  X  2  X  0  X  X X+2 X+2  X  X  0  2  X
 0  0  X  0  0  0  X X+2  X  0  0  0  X  X  0  X  2  0 X+2 X+2  2  X  X  2  X  X X+2  2 X+2  2  0  2 X+2  X  2  0 X+2 X+2 X+2  0  0
 0  0  0  X  0  X  X X+2  0  X  X  2  0  2 X+2  X  X  X X+2 X+2  X  0  X  0 X+2 X+2  2  0  X  2  0 X+2  2  0  0  0 X+2 X+2  2  X X+2
 0  0  0  0  X  X  0 X+2  X  2 X+2 X+2  0 X+2  2  2  X  2  X X+2 X+2  X X+2  2  2  0  2  0  2  X  X  X  X  X  X  2 X+2  X  X X+2 X+2
 0  0  0  0  0  2  0  0  0  0  0  0  2  0  2  2  2  2  2  2  0  2  2  2  0  2  0  0  0  2  0  0  2  2  0  0  2  2  0  2  0
 0  0  0  0  0  0  2  0  2  2  0  2  0  0  2  0  2  0  2  2  0  2  0  2  0  0  0  0  2  2  2  2  0  2  0  2  0  2  0  0  2
 0  0  0  0  0  0  0  2  2  0  2  2  2  2  2  2  0  2  0  0  2  0  0  2  0  0  2  2  2  2  0  0  2  2  0  0  2  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+239x^32+636x^34+815x^36+1358x^38+512x^39+3071x^40+3072x^41+3116x^42+512x^43+1389x^44+848x^46+574x^48+184x^50+51x^52+2x^54+3x^56+1x^76

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 10.9 seconds.