The generator matrix

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

generates a code of length 21 over Z16 who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+32x^15+98x^16+64x^17+480x^18+864x^19+1984x^20+1152x^21+1984x^22+864x^23+472x^24+64x^25+96x^26+32x^27+5x^32

The gray image is a code over GF(2) with n=168, k=13 and d=60.
This code was found by Heurico 1.16 in 23.2 seconds.