The generator matrix

 1  0  1  1  1 14  1  1  1  1 12  2  8  4  0  6
 0  1 11 14  5  1  8  3  6 13  1  1  1  1  4  1
 0  0 12  4  8 12  4  8  0 12  0  4  4 12 12  4

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

Homogenous weight enumerator: w(x)=1x^0+182x^14+160x^15+411x^16+64x^17+164x^18+32x^19+4x^20+6x^22

The gray image is a code over GF(2) with n=128, k=10 and d=56.
This code was found by Heurico 1.16 in 4.96e-008 seconds.