The generator matrix

 1  0  0  1  1  1  2  1  1  1  1  4 14  8  4  1  1  1  1  6  2
 0  1  0  4  5  1  1  2  7  6  3  1  2  1  1  6  4  1 13  1  2
 0  0  1  7  3  4  1  2  1  5  6  2  1  7  1  0  2  7  1  3  4
 0  0  0  8  0  0  0  0  0  8  0  8  8  8  0  0  8  0  8  0  8
 0  0  0  0  8  0  0  0  8  8  8  8  8  0  8  0  0  0  0  0  8
 0  0  0  0  0  8  0  0  0  0  8  8  8  8  0  8  0  0  8  8  0
 0  0  0  0  0  0  8  8  8  0  0  8  8  8  8  8  8  0  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+386x^16+544x^17+3424x^18+6656x^19+13664x^20+16320x^21+13440x^22+6656x^23+3576x^24+544x^25+288x^26+32x^28+5x^32

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 34 seconds.