The generator matrix

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

generates a code of length 45 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+24x^46+7x^48

The gray image is a code over GF(2) with n=360, k=5 and d=184.
This code was found by Heurico 1.16 in 0.032 seconds.