The generator matrix

 1  0  0  1  1  1  2  1  1  4  1 14 14  1  1  8 12  1  8 14  1
 0  1  0  4  5  7  1  2  1  1  3  1  4  6 14  4  6  0  1  1  6
 0  0  1  7  3  2  1  1  4  1  5  2  1  6  7  1  1  3  7  7  3
 0  0  0  8  0  0  0  8  0  0  8  8  8  0  0  8  0  8  8  0  0
 0  0  0  0  8  0  0  8  8  8  8  0  8  8  0  8  0  0  0  0  8
 0  0  0  0  0  8  0  0  8  0  8  8  0  8  0  8  8  8  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+115x^16+418x^17+1176x^18+4318x^19+5090x^20+10528x^21+5132x^22+4276x^23+1188x^24+410x^25+88x^26+14x^27+6x^28+4x^29+4x^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 2.01 seconds.