The generator matrix

 1  0  0  1  1  1  X  1  1 X+2  1  2  1  1 X+2  1  1  2  1  X  1  1  0  1 X+2  X  1  1  0  2  1  2  0  1  1  1  1  2  1  1  1
 0  1  0  X  1 X+3  1 X+2  0  2  1  1 X+2  3  1 X+1  1  X  0  1  X X+3  1  0  0  1 X+3  X  0  1  1  X  1  2  2  1 X+3  1  3 X+2  0
 0  0  1  1 X+3 X+2  1 X+1 X+2  1  1  1  0  0  0 X+1  X  1 X+1  X X+2  1 X+1 X+3  1  1  2  0  1 X+2  X  1 X+2  X  X  2 X+2 X+3  3  2  0
 0  0  0  2  0  0  0  0  2  2  0  0  2  2  0  0  2  2  0  2  0  2  0  2  0  2  0  2  2  0  0  2  0  0  2  2  0  0  2  2  0
 0  0  0  0  2  0  0  0  0  0  2  0  0  0  0  2  2  2  0  2  0  0  2  2  2  0  2  2  2  2  0  2  0  2  2  2  0  0  0  0  0
 0  0  0  0  0  2  0  0  0  0  2  2  2  0  2  2  0  0  0  2  2  2  0  0  0  0  2  2  2  0  2  0  2  2  2  2  0  2  0  0  2
 0  0  0  0  0  0  2  0  0  0  0  2  0  0  2  2  2  2  2  2  2  0  2  0  2  2  0  0  2  0  2  0  0  0  2  0  0  0  2  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+76x^34+198x^35+380x^36+530x^37+618x^38+864x^39+997x^40+982x^41+1007x^42+806x^43+575x^44+494x^45+315x^46+174x^47+86x^48+42x^49+25x^50+4x^51+9x^52+7x^54+2x^55

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 1.71 seconds.