The generator matrix

 1  0  1  1  1  6  1  1  0  1 14  1  1  1
 0  1 11  6  1  1  0  3  1  5  1 14  8  8
 0  0 12  0  0  0  0  0 12  4 12  8  4  8
 0  0  0 12  0  0  4  0  0 12 12 12  8  8
 0  0  0  0  4  0  4  4  8  8  8 12 12  4
 0  0  0  0  0 12  8 12 12  0  4 12 12  8

generates a code of length 14 over Z16 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+51x^8+184x^9+345x^10+1004x^11+5269x^12+15156x^13+21445x^14+15256x^15+5256x^16+1024x^17+347x^18+124x^19+47x^20+20x^21+7x^22

The gray image is a code over GF(2) with n=112, k=16 and d=32.
This code was found by Heurico 1.16 in 3.06 seconds.