The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2
 0  2 12  6  0  6 12 10  0  8  6 14 12  4  6  6
 0  0  8  0  0  8  8  8  8  8  0  8  0  0  0  0
 0  0  0  8  8  8  8  0  8  0  0  0  0  8  0  8

generates a code of length 16 over Z16 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+92x^14+325x^16+92x^18+1x^20+1x^28

The gray image is a code over GF(2) with n=128, k=9 and d=56.
This code was found by Heurico 1.16 in 0.00274 seconds.