The generator matrix

 1  0  1  1  1  4  1  1 10  1  1  1  1  1
 0  1  1  0 11  1 14  5  1 15 11  8 12  0
 0  0  2  6  0  2  0  8  2  6  0 12  2  0
 0  0  0 12  0  4  4 12 12 12  4 12  8  0
 0  0  0  0 12  4  8 12  8  4  8 12 12  0
 0  0  0  0  0  8  0  0  8  0  8  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+85x^8+158x^9+599x^10+1436x^11+5265x^12+14766x^13+20901x^14+14808x^15+5202x^16+1482x^17+633x^18+108x^19+71x^20+10x^21+11x^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 2.91 seconds.