The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+256x^16+432x^17+1446x^18+3400x^19+6724x^20+8176x^21+6790x^22+3488x^23+1460x^24+352x^25+178x^26+24x^27+36x^28+2x^30+3x^32

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 3.08 seconds.