The generator matrix

 1  0  1  1  1 14  1  1  1  6  1  4  1  2 10  1  1  1  1  1  1
 0  1 11 14  5  1  8  3  6  1  5  1  1  6  1 15  2 13 15  5  3
 0  0 12  4  8 12  4  8  0  0  4  4 12 12  8  8 12  0  4 12  0

generates a code of length 21 over Z16 who´s minimum homogenous weight is 19.

Homogenous weight enumerator: w(x)=1x^0+164x^19+258x^20+248x^21+198x^22+100x^23+21x^24+32x^25+2x^30

The gray image is a code over GF(2) with n=168, k=10 and d=76.
This code was found by Heurico 1.16 in 7.76 seconds.