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  0  0  X  1  0  0  X  2  1  1  X  2  1  1  1  1  1
 0  X  0  0  0  0  0  0  0  X X+2  X  2  2  X  0  2  X X+2  2  X X+2  0  X  X  0  X  X  2  X X+2  0  2  0  0  0  2 X+2 X+2  2  X
 0  0  X  0  0  0  X X+2  X  X  X  0  0  X  2  X  2  X X+2  2 X+2  0  2  2  0  2  0  X  X  2  0  X  X  2 X+2  X  X  X X+2  0  0
 0  0  0  X  0  X  X  X  2  0  0  2  2  2 X+2 X+2  2 X+2 X+2 X+2  X  X  X  0  X  X  X X+2  2  0  0  2  X X+2 X+2  2 X+2  2  0  X  X
 0  0  0  0  X  X  2 X+2 X+2  0  X  X  0 X+2  X  2  X  X  2 X+2  0  0  0 X+2 X+2  2  0  X  2 X+2  2  0 X+2  0 X+2 X+2 X+2 X+2 X+2  X  2
 0  0  0  0  0  2  2  2  2  2  0  0  2  0  2  0  2  0  0  0  2  0  2  2  2  2  0  2  2  0  0  0  2  0  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 34.

Homogenous weight enumerator: w(x)=1x^0+156x^34+12x^35+273x^36+144x^37+358x^38+476x^39+276x^40+768x^41+302x^42+516x^43+262x^44+112x^45+198x^46+20x^47+138x^48+70x^50+9x^52+4x^54+1x^64

The gray image is a code over GF(2) with n=164, k=12 and d=68.
This code was found by Heurico 1.16 in 0.717 seconds.