The generator matrix

 1  1  1  1  1  1  1  1  1  1  X  1  0  X  1  2  X  X  2  X  X  0 2X
 0  X  2 3X+2  0 3X+2  2 3X 2X 2X+2 3X+2 2X  X 3X 2X+2  X 2X+2 3X+2  X  0 X+2 2X+2  X
 0  0 2X 2X 2X  0  0 2X 2X  0  0  0 2X 2X 2X  0 2X 2X 2X 2X 2X 2X 2X

generates a code of length 23 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+150x^22+78x^24+24x^26+2x^30+1x^32

The gray image is a code over GF(2) with n=184, k=8 and d=88.
This code was found by Heurico 1.16 in 0.094 seconds.