The generator matrix

 1  0  1  1  1 14  1  1  6  1  8  1  2  1  1  4 14  1  2  1  1
 0  1 11 14  5  1  0  3  1  6  1 13  8 15  9  1  1  0  8  6  0
 0  0 12  4  0  4 12  0  8  8 12  4  4  0  0  4 12  0  4  0  0
 0  0  0  8  0  0  0  0  8  0  0  8  8  0  8  0  8  0  0  8  0
 0  0  0  0  8  0  0  0  0  8  8  8  8  0  0  0  8  0  8  8  0
 0  0  0  0  0  8  0  0  0  0  8  0  8  8  8  8  8  0  0  0  0
 0  0  0  0  0  0  8  0  8  0  0  8  8  8  0  8  0  8  0  0  8
 0  0  0  0  0  0  0  8  0  8  8  8  0  8  8  0  8  8  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+36x^14+64x^15+191x^16+352x^17+1390x^18+3008x^19+7591x^20+7488x^21+7614x^22+3008x^23+1396x^24+352x^25+170x^26+64x^27+32x^28+6x^30+4x^32+1x^36

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 2.06 seconds.