The generator matrix

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

generates a code of length 41 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+32x^33+196x^34+542x^35+556x^36+1082x^37+1144x^38+1822x^39+1668x^40+2234x^41+1732x^42+1902x^43+1177x^44+1134x^45+474x^46+338x^47+175x^48+94x^49+36x^50+36x^51+6x^52+2x^54+1x^60

The gray image is a code over GF(2) with n=164, k=14 and d=66.
This code was found by Heurico 1.16 in 6.53 seconds.