The generator matrix

 1  0  1  1  1  6  1  1  8  1  1  1  1  4  1  1
 0  1 11  6 13  1 12  3  1  8  5  4  7  1  1  3
 0  0 12  0  4  8  8  0  4 12  8 12  4  4  4  0
 0  0  0  8  8  8  0  0  0  0  8  8  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+50x^13+211x^14+498x^15+540x^16+492x^17+202x^18+44x^19+2x^20+2x^21+3x^22+2x^23+1x^24

The gray image is a code over GF(2) with n=128, k=11 and d=52.
This code was found by Heurico 1.16 in 0.0111 seconds.