The generator matrix

 1  0  1  1  1 12  1  1 10 14  1  1  1  1  2  4  8  0  1  1  6
 0  1  1  0 11  1 14 15  1  1 13  2 15  6  8  1  1  2  3  7  1
 0  0  2  6  0  2  8  2  6  0 12  2 10  8 14  6  2  6  8 10 12
 0  0  0 12  0  0  0  0  0  0  8 12 12  8 12  8  4  8 12 12 12
 0  0  0  0 12 12  4  4  8 12  0 12  8  0 12 12  4  8  8 12  0

generates a code of length 21 over Z16 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+237x^16+432x^17+1510x^18+3436x^19+6604x^20+8144x^21+6918x^22+3432x^23+1386x^24+416x^25+210x^26+12x^27+28x^28+2x^30

The gray image is a code over GF(2) with n=168, k=15 and d=64.
This code was found by Heurico 1.16 in 3.15 seconds.