The generator matrix

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

generates a code of length 21 over Z16 who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+102x^15+401x^16+976x^17+2716x^18+6706x^19+13246x^20+17188x^21+13288x^22+6730x^23+2765x^24+968x^25+316x^26+94x^27+34x^28+4x^29+1x^40

The gray image is a code over GF(2) with n=168, k=16 and d=60.
This code was found by Heurico 1.16 in 16.5 seconds.