The generator matrix

 1  1  1  1  1  1  1  1  0  1  8  1  1  1  1  1  0  1  1  1  1
 0  2  0  6  8  6  0 10  2  4  2 12  6  2 12 12  2  4 12  8  8
 0  0 12  0  8  4  4  4  4 12 12  8  0  4  4  0  8  4  0  8  0
 0  0  0 12 12  4 12  8  4  0  8  4  0 12 12  8  0  8  4  8 12

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

Homogenous weight enumerator: w(x)=1x^0+42x^17+91x^18+182x^19+303x^20+836x^21+291x^22+180x^23+65x^24+34x^25+9x^26+6x^27+6x^28+1x^30+1x^36

The gray image is a code over GF(2) with n=168, k=11 and d=68.
This code was found by Heurico 1.16 in 0.0244 seconds.