The generator matrix

 1  0  1  1  1 14  1  1  8  1  2  0  1  1
 0  1 11  6  1  1  3  8  1  3  8  1 15  8
 0  0 12  0  0  0  0  4  4 12  8  4 12  8
 0  0  0 12  0  4  4  4 12  4  8  8  0  0
 0  0  0  0  4  8 12  4  4  8  4  4  4 12

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

Homogenous weight enumerator: w(x)=1x^0+32x^9+137x^10+364x^11+1310x^12+3666x^13+5306x^14+3776x^15+1300x^16+316x^17+125x^18+36x^19+12x^20+2x^21+1x^24

The gray image is a code over GF(2) with n=112, k=14 and d=36.
This code was found by Heurico 1.16 in 0.4 seconds.