The generator matrix

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

generates a code of length 21 over Z16 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+72x^14+116x^15+312x^16+648x^17+1495x^18+3826x^19+6368x^20+7152x^21+6177x^22+3922x^23+1610x^24+632x^25+281x^26+70x^27+52x^28+16x^29+7x^30+2x^31+9x^32

The gray image is a code over GF(2) with n=168, k=15 and d=56.
This code was found by Heurico 1.16 in 3.86 seconds.