The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+120x^16+388x^17+786x^18+1640x^19+3974x^20+5646x^21+7649x^22+5624x^23+4009x^24+1752x^25+724x^26+272x^27+120x^28+38x^29+25x^30

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 4.04 seconds.