The generator matrix

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

generates a code of length 41 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+76x^40+128x^41+32x^42+16x^44+1x^48+2x^56

The gray image is a code over GF(2) with n=328, k=8 and d=160.
This code was found by Heurico 1.16 in 0.031 seconds.