The generator matrix

 1  0  1  1  1 14  1  1  2  4  8  1  1  0
 0  1 11 14  5  1  0  6  6  4  1  3 11  1
 0  0 12  4  0  4 12  0 12  4  4  8  4  0
 0  0  0  8  0  0  0  0  0  8  0  8  0  8
 0  0  0  0  8  0  0  0  0  0  0  8  8  8
 0  0  0  0  0  8  0  0  0  0  8  0  8  8
 0  0  0  0  0  0  8  0  0  8  8  0  0  8
 0  0  0  0  0  0  0  8  0  8  8  8  0  0
 0  0  0  0  0  0  0  0  8  8  0  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+125x^8+96x^9+512x^10+1760x^11+8056x^12+10432x^13+23552x^14+10432x^15+8091x^16+1760x^17+512x^18+96x^19+104x^20+7x^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 1.46 seconds.