The generator matrix

 1  0  0  1  1  1  2  0  1  1  2  0  1  1  X X+2  1  0  1  1  1  2  0  X  1 X+2  1  X  1  1  X  1 X+2  1  1 X+2  1 X+2  1 X+2  1
 0  1  0  0  3  3  1 X+2  2  1  1  1  2  1  X  2  2  1  3  1  0  1 X+2 X+2  0  0 X+3  1 X+1 X+2  1  X  X  2 X+3 X+2 X+3  1 X+1  1 X+3
 0  0  1 X+1 X+3  2 X+3  1  X  3  1  X  1 X+2  1  1 X+3  2  1  0 X+2  1  1  1  3  1  3  X  2 X+1  3 X+1  1  3  X  1  2  0 X+1 X+1  2
 0  0  0  2  2  0  2  2  2  0  0  2  0  2  0  2  0  2  2  2  0  2  0  2  2  0  0  0  2  0  2  2  2  2  0  2  0  2  0  2  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+295x^38+307x^40+192x^42+117x^44+71x^46+21x^48+18x^50+1x^52+1x^56

The gray image is a code over GF(2) with n=164, k=10 and d=76.
This code was found by Heurico 1.16 in 2.45 seconds.