The generator matrix

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

generates a code of length 22 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 17.

Homogenous weight enumerator: w(x)=1x^0+440x^17+1791x^18+6098x^19+14877x^20+25900x^21+32312x^22+26926x^23+14703x^24+5712x^25+1796x^26+446x^27+51x^28+12x^29+4x^30+2x^31+1x^34

The gray image is a code over GF(2) with n=176, k=17 and d=68.
This code was found by Heurico 1.16 in 35.4 seconds.