The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+62x^14+76x^15+271x^16+40x^17+33x^18+12x^19+16x^20+1x^26

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 0.00265 seconds.