The generator matrix

 1  0  1  1  1  6  1  1 12  1  1  2 10  1  1  1
 0  1  3  6  5  1 12 15  1 10  9  0  1  6 12  0
 0  0  8  0  8  0  8  0  8  8  0  8  8  8  8  0
 0  0  0  8  8  8  8  0  0  0  8  0  8  8  0  8

generates a code of length 16 over Z16 who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+24x^13+66x^14+368x^15+123x^16+352x^17+60x^18+16x^19+4x^20+8x^21+2x^22

The gray image is a code over GF(2) with n=128, k=10 and d=52.
This code was found by Heurico 1.16 in 0.00355 seconds.