The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+138x^18+160x^19+442x^20+742x^21+1172x^22+744x^23+405x^24+132x^25+127x^26+8x^27+12x^28+6x^29+2x^30+4x^32+1x^34

The gray image is a code over GF(2) with n=176, k=12 and d=72.
This code was found by Heurico 1.16 in 0.078 seconds.