The generator matrix

 1  0  1  1  1 14  1  1  0  1  1  1  1  1
 0  1 11  6  1  1 11  0  1  5  5 14  0  0
 0  0 12  0  0  0  4  8  4 12  0  4  4  0
 0  0  0 12  0  4  4 12  0  8 12  8  4  0
 0  0  0  0  4  0  4  4 12 12  4  8  0  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+63x^8+62x^9+285x^10+740x^11+2531x^12+7398x^13+10619x^14+7368x^15+2544x^16+762x^17+283x^18+52x^19+45x^20+2x^21+13x^22

The gray image is a code over GF(2) with n=112, k=15 and d=32.
This code was found by Heurico 1.16 in 0.809 seconds.