The generator matrix

 1  0  0  1  1  1 X+2  1  X  1  1  X  2  1  1  X X+2 X+2  1  1  1  1  X  0  X  X  0  1  0  1  X  2  1  1  0  1  0  0  1  1  1
 0  1  0  0  1 X+3  1 X+2  1 X+3  2  1  X X+1  X  0  1  1  0  3 X+3  3  1  1 X+2  0  1  1  1  3  2  X  1  2  1 X+2  X  2 X+2 X+3  X
 0  0  1  1 X+1  0 X+3  1 X+2 X+3  X  1  1  0  3  1  2  1  2 X+2  1 X+3 X+3 X+2  1  1 X+1  1  3  2  1  1  X X+1  0 X+1 X+2  X  X  0  1
 0  0  0  X  X X+2  0  X  2  X  0  2  2  0  2 X+2 X+2  X  X X+2  0  0  X  2  X  2  X  2  X X+2  0  2  0  0 X+2  0  X X+2  0  2 X+2
 0  0  0  0  2  0  0  0  0  2  0  0  0  2  2  2  2  2  0  0  0  0  0  2  2  0  2  2  0  2  2  2  0  2  0  0  0  2  2  2  2
 0  0  0  0  0  2  0  2  2  2  2  2  2  2  2  2  2  0  2  0  2  0  0  0  2  0  2  0  0  2  0  0  0  0  0  2  0  0  0  0  0
 0  0  0  0  0  0  2  0  0  0  0  2  0  2  2  2  2  0  0  2  0  0  2  2  0  2  2  0  0  0  2  0  2  0  2  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 33.

Homogenous weight enumerator: w(x)=1x^0+54x^33+243x^34+410x^35+793x^36+846x^37+1593x^38+1370x^39+2011x^40+1752x^41+1996x^42+1536x^43+1566x^44+740x^45+724x^46+380x^47+227x^48+58x^49+49x^50+14x^51+9x^52+6x^53+3x^54+2x^55+1x^56

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 6.69 seconds.