The generator matrix

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

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+424x^36+716x^38+1040x^40+796x^42+698x^44+276x^46+127x^48+4x^50+14x^52

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 1.16 seconds.