The generator matrix

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

generates a code of length 23 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 23.

Homogenous weight enumerator: w(x)=1x^0+20x^23+4x^24+4x^25+2x^26+1x^28

The gray image is a code over GF(2) with n=184, k=5 and d=92.
This code was found by Heurico 1.16 in 3.62e-008 seconds.