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  X  2  2  X  X  0  X  X  1  X  1  1  X  1  X  1  X  1  X
 0  X  0  X  0  0  X X+2  0  2  X  0 X+2  2 X+2 X+2  0  2  0 X+2 X+2  0  X  X  X  0  0  X X+2  X  X  X  0  2  X  2  X  0  2  2  2
 0  0  X  X  0 X+2  X  0  0  X  X  2  2 X+2  X  0  2  X  X  0 X+2  2 X+2 X+2 X+2 X+2 X+2  0  0  X  2 X+2  2  2  X X+2 X+2  X  X  X  0
 0  0  0  2  0  0  0  0  0  0  0  0  0  0  2  0  0  0  0  2  2  2  2  2  2  2  2  0  0  2  2  0  2  2  2  2  0  0  2  2  0
 0  0  0  0  2  0  0  0  0  0  0  2  0  0  0  2  2  0  0  0  2  2  2  0  2  0  0  2  2  2  0  2  0  2  0  0  2  0  2  2  0
 0  0  0  0  0  2  0  0  0  2  0  0  0  0  0  2  2  2  2  0  2  2  0  0  2  2  2  2  2  0  2  0  2  2  2  2  2  0  0  0  2
 0  0  0  0  0  0  2  0  0  0  2  0  0  0  0  2  2  2  2  0  0  2  2  2  0  2  2  0  0  2  2  0  0  0  2  0  0  2  0  0  2
 0  0  0  0  0  0  0  2  0  2  2  2  2  0  0  2  2  0  2  2  2  0  2  0  0  2  0  0  2  0  2  2  2  2  0  0  0  0  2  0  0
 0  0  0  0  0  0  0  0  2  0  0  0  2  2  2  2  2  2  0  0  2  0  0  2  2  2  0  0  2  2  2  2  0  2  2  0  0  0  0  0  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+240x^34+32x^35+598x^36+192x^37+824x^38+480x^39+1318x^40+640x^41+1224x^42+480x^43+924x^44+192x^45+456x^46+32x^47+280x^48+72x^50+62x^52+10x^56

The gray image is a code over GF(2) with n=164, k=13 and d=64.
This code was found by Heurico 1.16 in 2.89 seconds.