The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  1  1  X  1  1  1  1  X  1  2  1  X  0  1  X  0  X  1  1  1  1
 0  X  0  X  0  0  X X+2  0  2  X X+2  0 X+2  2 X+2  2 X+2  X  X  0 X+2  2 X+2  0  0  2 X+2  0  X X+2  0  X  X  2  0  0  2 X+2 X+2  2
 0  0  X  X  0 X+2  X  0  2  X  X  0  2 X+2  X  0 X+2  0  X X+2  2  X  X X+2  X  0  X  2 X+2 X+2 X+2 X+2  0 X+2 X+2  X X+2  0  0  2  X
 0  0  0  2  0  0  0  2  2  2  0  0  2  2  0  2  2  0  2  2  0  2  2  2  2  0  0  0  2  0  0  0  2  0  2  0  0  0  0  2  0
 0  0  0  0  2  0  0  0  0  0  2  0  2  2  2  2  2  0  0  2  2  0  2  2  2  0  2  0  0  0  2  0  0  2  0  2  0  0  2  2  0
 0  0  0  0  0  2  0  0  0  2  2  2  2  0  0  2  2  0  2  0  0  2  0  2  2  0  2  2  0  2  0  2  2  2  0  0  2  2  2  0  0
 0  0  0  0  0  0  2  2  2  2  2  0  2  0  0  2  2  2  0  0  2  2  0  2  0  2  0  0  0  2  0  0  0  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+24x^34+60x^35+106x^36+118x^37+172x^38+214x^39+230x^40+272x^41+231x^42+194x^43+134x^44+96x^45+67x^46+42x^47+31x^48+24x^49+16x^50+2x^51+8x^52+2x^53+2x^56+1x^58+1x^62

The gray image is a code over GF(2) with n=164, k=11 and d=68.
This code was found by Heurico 1.16 in 0.205 seconds.