The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+42x^9+79x^10+260x^11+580x^12+1998x^13+2277x^14+2008x^15+563x^16+262x^17+73x^18+36x^19+8x^20+2x^21+3x^22

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 0.179 seconds.