The generator matrix

 1  0  1  1  1 X+2  1  1  2  X  1  1  2  1  1  1  X  X  1  1  1  1  1  1  0  1  X  1 X+2  1 X+2  1  1  1  X  2  1  X  1  1  2
 0  1  1  0 X+3  1  X X+1  1  1 X+2  3  1  3 X+2 X+1  1  1  2  0 X+3  1  X X+3  1 X+1  1  2  1  0  1  1  2  0 X+2  0  3  1  0 X+3  1
 0  0  X  0 X+2  0  0  0  2  2  0  2  X  X X+2  X  X X+2 X+2  X  0  0 X+2  2  2 X+2 X+2  0 X+2  0 X+2  2 X+2  2 X+2  0  0  2 X+2  0  2
 0  0  0  X  0  0  X  2 X+2  X  0  2  0 X+2 X+2  X  2  X  0 X+2 X+2 X+2  2 X+2  0 X+2  0  X  X  2  X  2  2  X  2  X  0  2  2 X+2 X+2
 0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  2  2  2  2  2  0  2  0  2  2  2  2  2  2
 0  0  0  0  0  2  0  2  2  2  2  0  2  2  2  2  0  2  2  0  2  0  0  2  2  2  0  0  2  0  0  0  2  0  2  2  2  0  2  0  0
 0  0  0  0  0  0  2  0  2  0  2  0  0  2  2  0  2  0  2  2  2  2  2  0  0  0  0  0  2  0  2  2  2  2  0  2  2  0  2  0  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+183x^34+120x^35+470x^36+300x^37+849x^38+696x^39+1066x^40+796x^41+1167x^42+776x^43+764x^44+292x^45+362x^46+72x^47+181x^48+20x^49+57x^50+14x^52+5x^54+1x^58

The gray image is a code over GF(2) with n=164, k=13 and d=68.
This code was found by Heurico 1.16 in 20.7 seconds.