The generator matrix

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

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+70x^38+122x^39+65x^40+36x^41+62x^42+80x^43+46x^44+12x^45+6x^46+6x^47+5x^54+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 0.0353 seconds.