The generator matrix

 1  0  0  1  1  1  2  0  1  1  8  1  6  1  1  1  6  1  6  1  1
 0  1  0  1  2  3  1  1  8  6  1  5 12  7 10  9  1  4 10  8  0
 0  0  1  1  1  4  7  2  6  3 11 14  1 15  2  6  2  1  1 12  0
 0  0  0  2  8 10  6 10 10  6 12  0 14 12  4 14 12 12  4  4  0

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

Homogenous weight enumerator: w(x)=1x^0+120x^16+642x^17+1374x^18+3652x^19+6330x^20+8444x^21+6476x^22+3692x^23+1323x^24+542x^25+110x^26+48x^27+8x^28+4x^29+2x^32

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 2.67 seconds.