The generator matrix

 1  0  1  1  1 10  1  4  1  6  1 12  1  4  0  1
 0  1  1  4 11  1 10  1 13  1  6  1  2  2  0  0
 0  0  2  2  4  6  6 10  4  0  0  8 10  2  2  0
 0  0  0  8  0  0  8  0  0  8  8  0  8  0  8  0
 0  0  0  0  8  0  8  8  0  0  8  8  0  0  8  8

generates a code of length 16 over Z16 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+41x^12+354x^13+900x^14+1380x^15+2876x^16+1376x^17+856x^18+332x^19+55x^20+14x^21+4x^22+3x^24

The gray image is a code over GF(2) with n=128, k=13 and d=48.
This code was found by Heurico 1.16 in 0.135 seconds.