The generator matrix

 1  1  1  1  1  1  1  1  1  2  1  2  1  1
 0 12  0  0  0  0  0  0  8 12  4 12  8  0
 0  0 12  0  0  0  4 12 12  4  4  4 12  8
 0  0  0 12  0  4  4 12  0  0  4 12  8  8
 0  0  0  0 12  4  0 12  4  4  4  8  0  8
 0  0  0  0  0  8  0  0  0  8  8  0  8  0
 0  0  0  0  0  0  8  0  0  8  8  8  8  8
 0  0  0  0  0  0  0  8  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+262x^8+740x^10+2336x^12+2048x^13+21956x^14+2048x^15+2413x^16+716x^18+232x^20+12x^22+4x^24

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 1.77 seconds.