The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+101x^14+64x^15+200x^16+64x^17+66x^18+6x^20+9x^22+1x^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 0.521 seconds.