The generator matrix

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

generates a code of length 41 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+404x^36+732x^38+1068x^40+800x^42+640x^44+316x^46+113x^48+8x^50+12x^52+2x^56

The gray image is a code over GF(2) with n=164, k=12 and d=72.
This code was found by Heurico 1.16 in 48.9 seconds.