The generator matrix

 1  0  1  1  1  4  1  1 12  6  1 10 12  1
 0  1  1  0  3  1 11  0  1  1  0  1  1  0
 0  0  2  0  2  4  0 10 14  6  2  6 12 14
 0  0  0  2  2  6  0  2 12 14  8 10  6 10
 0  0  0  0  4  0  4  8 12  0  4  4  4  4

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

Homogenous weight enumerator: w(x)=1x^0+116x^9+461x^10+1524x^11+4890x^12+13680x^13+24097x^14+13800x^15+4943x^16+1492x^17+399x^18+100x^19+22x^20+8x^21+3x^22

The gray image is a code over GF(2) with n=112, k=16 and d=36.
This code was found by Heurico 1.16 in 4.31 seconds.