The generator matrix

 1  0  1  1  1 X+2  1  1  0  1  1 X+2  0  1  1  1 X+2  1  1  1 X+2  0  1  2  1  1  X  1  1  1  1  1  1  1 X+2  1  1  0  1  1  0
 0  1 X+1 X+2  1  1  0 X+1  1 X+2  3  1  1  0 X+1  3  1  3 X+2 X+1  1  1  0  1  X  3  1  0  0 X+1  2  2 X+1 X+3  1  2 X+2  1 X+2 X+2  X
 0  0  2  0  0  0  0  0  0  2  0  0  0  2  2  2  2  2  2  2  2  2  0  2  0  0  2  2  0  2  2  2  0  2  0  2  0  0  0  0  2
 0  0  0  2  0  0  0  2  0  2  2  0  2  2  0  2  2  0  2  0  2  0  0  2  2  2  2  0  0  2  2  2  2  0  2  0  0  0  0  2  0
 0  0  0  0  2  0  0  0  2  0  2  0  2  0  0  2  0  2  0  0  2  2  0  0  0  0  2  2  2  2  0  2  2  2  0  0  2  0  0  2  2
 0  0  0  0  0  2  0  2  2  0  2  0  0  0  0  0  2  2  2  2  2  0  2  0  2  0  0  0  2  2  0  0  2  2  2  2  2  0  2  0  2
 0  0  0  0  0  0  2  2  0  2  2  2  2  0  2  2  0  0  0  2  2  0  2  2  2  0  0  2  0  0  2  2  0  0  0  2  2  2  2  2  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+217x^36+312x^38+550x^40+368x^42+468x^44+88x^46+31x^48+7x^52+2x^56+4x^60

The gray image is a code over GF(2) with n=164, k=11 and d=72.
This code was found by Heurico 1.16 in 0.49 seconds.