The generator matrix

 1  0  1  1  1 14  1  1  8  1  1  6  0  0
 0  1 11  6  1  1  3  0  1  3  8  1  2  1
 0  0 12  0  0  0  0  4  8 12  4  4  4  0
 0  0  0 12  0  4  4  4  8 12 12  0  0  4
 0  0  0  0  4  0  4  0  4  8 12  4  4 12
 0  0  0  0  0  8  0  0  8  8  0  0  8  8
 0  0  0  0  0  0  8  8  8  8  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+78x^8+128x^9+418x^10+1472x^11+5160x^12+14736x^13+21446x^14+14912x^15+5153x^16+1376x^17+462x^18+128x^19+40x^20+16x^21+10x^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 2.43 seconds.