The generator matrix

 1  0  1  1  6  1  1  1  4  1  1 12  1  8  1  1
 0  1  1  6  1 11 13  4  1  2  3  1 14  2  0  0
 0  0  2  0  8  4 12  2  2 10 14 14 10  2  6  0
 0  0  0  8  8  0  8  8  8  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+170x^13+358x^14+994x^15+1099x^16+972x^17+308x^18+156x^19+20x^20+10x^21+6x^22+2x^23

The gray image is a code over GF(2) with n=128, k=12 and d=52.
This code was found by Heurico 1.16 in 0.0367 seconds.