The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  6  1  1  0  1  0
 0  1  3  6  5  1 12  7  1 10  9  1  3  0  1  1  6  0  1  0  1
 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  0  0  8  8  0  8  8  0  8  0  8  8  8
 0  0  0  0  8  0  0  0  0  8  8  8  8  0  0  0  8  8  0  8  8
 0  0  0  0  0  8  0  0  8  8  0  8  0  8  8  0  8  8  0  0  0
 0  0  0  0  0  0  8  0  8  0  0  8  0  8  0  8  0  8  0  8  8
 0  0  0  0  0  0  0  8  8  8  8  0  8  0  8  8  0  8  0  0  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+128x^17+480x^18+1632x^19+4544x^20+2560x^21+4544x^22+1632x^23+472x^24+128x^25+96x^26+32x^27+5x^32

The gray image is a code over GF(2) with n=168, k=14 and d=60.
This code was found by Heurico 1.16 in 7.44 seconds.