The generator matrix

 1  1  1  1  1  1  1  2  2  8  1  1  1  1  2  1
 0  2  0  2  8 10  0 14  6  4 14  4  6 12 12  8
 0  0  2  2  4  6  6 10  8  2 12 14 14  4  6  8

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

Homogenous weight enumerator: w(x)=1x^0+14x^13+143x^14+210x^15+349x^16+168x^17+81x^18+18x^19+33x^20+6x^21+1x^24

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 0.00467 seconds.