The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+42x^13+80x^14+210x^15+360x^16+236x^17+61x^18+12x^19+6x^20+10x^21+2x^22+2x^23+1x^24+1x^26

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 0.0062 seconds.