The generator matrix

 1  0  1  1  1  2  1  1  0  0  1  1  1  0  1  1  1  2  2  1  1  X  1  1  1  1 X+2  1  1  1  1  1  1  X  X  1  2  0  1  2  X
 0  1  1  0  1  1  2 X+1  1  1  2 X+3  0  1  1 X+1  2  1  1  2  3  1 X+3 X+2  X X+3  1 X+3  X  X  0 X+3  0  1  1  X  1  0  X  1  2
 0  0  X  0  0  0  0  2 X+2  X X+2 X+2  0  X X+2  2  X  0  2 X+2 X+2 X+2  2  X  0  X X+2  X  X  X  X  2  2  2  0  X  X  X  2  2 X+2
 0  0  0  X  0  0  2  2  2  2  0  2 X+2 X+2 X+2 X+2  X  X X+2  X X+2  X X+2 X+2  X  X  2  0 X+2  2  2  X  X  2  X  X  X  0  0 X+2  0
 0  0  0  0  X X+2 X+2  2  X  0  0 X+2 X+2  2 X+2  X X+2  2  X  0  0 X+2  2  0  2  X  0  2 X+2  X  2  0  2 X+2 X+2 X+2 X+2  2  0  2 X+2

generates a code of length 41 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+118x^35+188x^36+288x^37+376x^38+446x^39+473x^40+392x^41+501x^42+420x^43+329x^44+268x^45+124x^46+70x^47+27x^48+24x^49+21x^50+18x^51+5x^52+4x^53+2x^54+1x^56

The gray image is a code over GF(2) with n=164, k=12 and d=70.
This code was found by Heurico 1.16 in 0.493 seconds.