The generator matrix

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

generates a code of length 22 over Z16 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+28x^16+278x^17+452x^18+1724x^19+3270x^20+6706x^21+7852x^22+6728x^23+3306x^24+1690x^25+396x^26+252x^27+50x^28+30x^29+4x^30+1x^32

The gray image is a code over GF(2) with n=176, k=15 and d=64.
This code was found by Heurico 1.16 in 2.66 seconds.