The generator matrix

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

generates a code of length 23 over Z4[X]/(X^2+2) who�s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+49x^18+183x^20+557x^22+512x^23+527x^24+147x^26+53x^28+15x^30+4x^32

The gray image is a code over GF(2) with n=184, k=11 and d=72.
This code was found by Heurico 1.16 in 0.031 seconds.