The generator matrix

 1  0  0  1  1  1  6  1  1  4  2  4  2  1
 0  1  0  1  6  7  1  0  1  1  1  1  1  0
 0  0  1  1  3  2  3  6  7  7  1  1  1  0
 0  0  0  8  0  0  0  0  8  0  8  8  8  0
 0  0  0  0  8  0  0  8  8  8  8  8  0  0
 0  0  0  0  0  8  0  8  0  8  0  8  8  0
 0  0  0  0  0  0  8  0  8  8  0  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+46x^8+64x^9+472x^10+2112x^11+5713x^12+12672x^13+23376x^14+12672x^15+5713x^16+2112x^17+472x^18+64x^19+46x^20+1x^28

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 1.71 seconds.