The generator matrix

 1  1  1  1  1  1  2  2  2  4  4  1  1  2
 0 12  0  4  0  0  4 12  0  8  4  4 12 12
 0  0 12  4  0 12  4  0 12  4  4 12  0  0
 0  0  0  8  0  0  0  0  0  0  0  8  8  8
 0  0  0  0  8  0  0  0  0  8  0  8  8  0
 0  0  0  0  0  8  0  0  0  8  8  8  0  0
 0  0  0  0  0  0  8  0  0  0  8  0  8  8
 0  0  0  0  0  0  0  8  0  0  8  8  8  0
 0  0  0  0  0  0  0  0  8  8  0  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+125x^8+512x^10+2424x^12+2048x^13+6144x^14+2048x^15+2459x^16+512x^18+104x^20+7x^24

The gray image is a code over GF(2) with n=112, k=14 and d=32.
This code was found by Heurico 1.16 in 0.3 seconds.