The generator matrix

 1  0  0  0  1  1  1  1  2  1  1 X+2  0  1  2  1  1  0  X  1  1  1  1  1  1  0 X+2  2  2 X+2  1  2 X+2  1  1  X  1  2  X  0  1
 0  1  0  0  0  2  1  3  1  2 X+3  1 X+2  1  1 X+2 X+3 X+2  0  3  0 X+1  2  1 X+2  1  1  1  X  1  3  2  1  2  0 X+2  3  1  1  X X+1
 0  0  1  0  0  1  3  2  1 X+1  3 X+1  1  2 X+2  2  1 X+2  1  X  1  3 X+1 X+3  X  0  3  3  1  X  3  1  3 X+3 X+2  1  2  X X+2  1 X+3
 0  0  0  1 X+1 X+1  2 X+3 X+3  X X+3  0  3 X+2  3 X+1  1  1 X+1  3  1  2  0  3 X+2 X+1  X  1  1  X X+3  X  3 X+1 X+3  2 X+2  X  1  0 X+2
 0  0  0  0  2  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  2  0  2  0  0  2  0  2  2  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+224x^35+359x^36+668x^37+761x^38+816x^39+862x^40+978x^41+850x^42+818x^43+577x^44+592x^45+327x^46+212x^47+87x^48+34x^49+12x^50+10x^51+2x^52+2x^54

The gray image is a code over GF(2) with n=164, k=13 and d=70.
This code was found by Heurico 1.16 in 1.57 seconds.