The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+23x^38+24x^39+139x^40+148x^41+131x^42+16x^43+20x^44+4x^45+5x^46+1x^74

The gray image is a code over GF(2) with n=328, k=9 and d=152.
This code was found by Heurico 1.16 in 0.047 seconds.