The generator matrix

 1  0  0  0  1  1  1 10 14  1  1  1 10 10  1  1  1  8  4  4  1
 0  1  0  0  4  9 13  1  1  6  4  7  1  2 11  0  6  1 14  1  0
 0  0  1  0  5  1  4  5  8  1  2 14  7  1 12  3  6  1 12 13  0
 0  0  0  1  1  4  5  5 11 10 11  4  0 11  6 10  3  5  1  2  0

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

Homogenous weight enumerator: w(x)=1x^0+238x^16+1132x^17+3201x^18+7050x^19+12794x^20+16394x^21+13284x^22+7148x^23+2975x^24+968x^25+265x^26+74x^27+8x^28+2x^29+2x^30

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 9.34 seconds.