The generator matrix

 1  0  0  1  1  1  6  1  1  0  1  1  1  1
 0  1  0  1  6  7  1 11 10  1  8 10  0  0
 0  0  1  1  3  2  3  0  2  4  3  1  0  0
 0  0  0 12  0  0  8  4 12  4  4  4  0  0
 0  0  0  0  8  0  8  0  8  0  0  8  8  0
 0  0  0  0  0  8  0  8  8  0  0  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+33x^8+164x^9+664x^10+1780x^11+5092x^12+13096x^13+23770x^14+13288x^15+5065x^16+1716x^17+652x^18+164x^19+48x^20+2x^22+1x^24

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 2.31 seconds.