The generator matrix

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

generates a code of length 14 over Z16 who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+42x^9+98x^10+184x^11+600x^12+1808x^13+2713x^14+1848x^15+576x^16+178x^17+100x^18+32x^19+6x^20+4x^21+1x^22+1x^24

The gray image is a code over GF(2) with n=112, k=13 and d=36.
This code was found by Heurico 1.16 in 0.167 seconds.