The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  0  1  1 2X  1  X  1  1  1  1
 0  X  0 3X+2 2X X+2  0  X  2 3X+2 2X+2 3X  X 2X+2 3X  X 2X+2 3X+2 2X 2X+2 2X+2  0
 0  0 2X+2  0 2X 2X+2 2X+2  2  2  2 2X  2 2X  0  0  0  2  2  0 2X+2 2X+2 2X
 0  0  0 2X+2 2X+2  2 2X+2 2X  0  0 2X+2 2X+2 2X 2X 2X 2X+2  2 2X  2 2X+2  2 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+34x^18+110x^19+166x^20+404x^21+646x^22+408x^23+129x^24+92x^25+36x^26+10x^27+8x^28+3x^30+1x^38

The gray image is a code over GF(2) with n=176, k=11 and d=72.
This code was found by Heurico 1.16 in 0.031 seconds.