The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  X  1  1  X  1  X  X  X  1  1  2  0  1  2 2X  X  X  2  X  X  2  2  2  0 2X  1
 0 2X+2 2X  2  0 2X+2 2X  2  0 2X+2 2X  2 2X+2  0 2X+2  2 2X  2 2X+2  0 2X  0  2 2X 2X+2 2X+2  2  2  2  2  0 2X 2X 2X+2  2  0 2X+2  2  2  2  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+2x^40+46x^41+3x^42+8x^43+2x^45+1x^48+1x^50

The gray image is a code over GF(2) with n=328, k=6 and d=160.
This code was found by Heurico 1.16 in 0.032 seconds.