The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+73x^16+420x^17+1275x^18+3154x^19+6702x^20+13306x^21+15535x^22+13348x^23+6992x^24+3176x^25+1033x^26+362x^27+114x^28+26x^29+13x^30+6x^32

The gray image is a code over GF(2) with n=176, k=16 and d=64.
This code was found by Heurico 1.16 in 10.5 seconds.