The generator matrix

 1  0  1  1  1  6  1  1  1  1 12 10  1  1  1  1
 0  1  3  6  5  1 12 10 15  9  1  1  0  6 12  8
 0  0  8  8  0  8  8  0  0  8  8  0  8  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+36x^14+176x^15+85x^16+176x^17+36x^18+2x^24

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 0.00172 seconds.