The generator matrix

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

generates a code of length 22 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+43x^18+464x^19+1052x^20+1372x^21+2404x^22+1380x^23+955x^24+392x^25+77x^26+36x^27+8x^28+4x^29+4x^30

The gray image is a code over GF(2) with n=176, k=13 and d=72.
This code was found by Heurico 1.16 in 0.172 seconds.