The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  1  0  2  0  1  8  1  0  2  1
 0  2  0  2  0 10 12 14  4  4 10  6  0  6  2 12  2 12  0  8  6
 0  0  2  2 12 14  6  4  2  4  6  0  2  6  0  0  4  6  2 14  6
 0  0  0  8  0  0  0  8  8  8  8  0  0  8  0  0  0  0  8  8  0
 0  0  0  0  8  0  0  0  0  8  0  8  0  8  8  8  0  8  0  0  8
 0  0  0  0  0  8  0  8  8  8  0  0  8  8  8  8  0  8  8  8  8
 0  0  0  0  0  0  8  0  0  8  8  0  8  8  0  8  8  0  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+12x^15+234x^16+304x^17+884x^18+1372x^19+3520x^20+3776x^21+3420x^22+1412x^23+960x^24+272x^25+172x^26+20x^27+16x^28+4x^30+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 0.939 seconds.