The generator matrix

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

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+206x^18+904x^19+1845x^20+3104x^21+4140x^22+3408x^23+1775x^24+736x^25+190x^26+40x^27+27x^28+8x^30

The gray image is a code over GF(2) with n=176, k=14 and d=72.
This code was found by Heurico 1.16 in 0.703 seconds.