The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  1  4  4  2
 0 12  0  0  8 12 12  4  0  0  8 12  8  4 12  0 12 12  0  8  8
 0  0 12  0 12 12  4  8  0  4  4 12  8 12  0 12  8  0  8  4  0
 0  0  0 12  4  8  4  4  8  4  0  0  4 12 12  0  8  8  8  0  4

generates a code of length 21 over Z16 who´s minimum homogenous weight is 17.

Homogenous weight enumerator: w(x)=1x^0+32x^17+52x^18+68x^19+198x^20+328x^21+224x^22+48x^23+22x^24+24x^25+12x^26+12x^27+2x^28+1x^32

The gray image is a code over GF(2) with n=168, k=10 and d=68.
This code was found by Heurico 1.16 in 0.00989 seconds.