The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  2 12  1  2  1 12  1  2  2  2  2
 0  2  0  2  0  8  6  4  6  4 12 10  2  6  0 12  2  6 12  2  4  4
 0  0  2  2 12 14  6 12  8  2  8  6  6  0  6 12  0  4  6 12  2  2
 0  0  0  8  0  0  0  8  8  8  0  0  8  0  8  8  8  8  0  0  0  0
 0  0  0  0  8  8  0  0  8  0  8  0  0  8  0  8  8  8  0  0  8  0

generates a code of length 22 over Z16 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+101x^18+288x^19+488x^20+730x^21+901x^22+796x^23+440x^24+192x^25+99x^26+36x^27+12x^28+6x^29+3x^30+3x^32

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 0.113 seconds.