The generator matrix

 1  0  0  1  1  1  6 12  1  1  8  1 14  1  1  1  1  1  8  1  1
 0  1  0  2  1 11  1  1 12 14  1  7  2  4  3  3 10 13  2  4 14
 0  0  1  1  5  4  3  2  3  6  3  2  1  1  2  3  6  4  1  5  3
 0  0  0  4  4  0  0  4  8  4  4  0  0  8  4  8  0  8  8  4  4
 0  0  0  0  8  0  8  0  0  0  8  8  8  8  8  0  0  0  0  8  0
 0  0  0  0  0  8  0  8  8  8  8  0  8  8  8  0  8  8  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+285x^16+724x^17+3020x^18+6564x^19+13499x^20+17176x^21+13784x^22+6552x^23+2944x^24+724x^25+220x^26+4x^27+36x^28+2x^32+1x^36

The gray image is a code over GF(2) with n=168, k=16 and d=64.
This code was found by Heurico 1.16 in 27.4 seconds.