The generator matrix

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

generates a code of length 41 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+130x^38+152x^40+104x^42+96x^44+21x^46+5x^48+2x^56+1x^62

The gray image is a code over GF(2) with n=164, k=9 and d=76.
This code was found by Heurico 1.16 in 0.0846 seconds.