The generator matrix

 1  0  0  1  1  1  4 14  1 10  1  1  1  1  1 12  6  1  4  8  6  1
 0  1  0  2  1  7  1  1  2  1  6 13  1  3  9  4  8  0  1  1  1 12
 0  0  1  1  5  2  7  0  7  7  4  3  2  5  4  1  1  2  3 12 11  2
 0  0  0  4  4  0  8 12  8 12 12  4  8  8 12 12  8 12 12  8  8  4
 0  0  0  0  8  8  8  8  8  0  8  0  0  0  0  8  8  0  8  8  0  0

generates a code of length 22 over Z16 who´s minimum homogenous weight is 17.

Homogenous weight enumerator: w(x)=1x^0+78x^17+459x^18+1666x^19+3326x^20+6766x^21+8070x^22+7036x^23+3297x^24+1474x^25+431x^26+114x^27+32x^28+18x^29

The gray image is a code over GF(2) with n=176, k=15 and d=68.
This code was found by Heurico 1.16 in 2.38 seconds.