The generator matrix

 1  0  1  1  1 14  1  1  1  6  2  1  1  1  8  1
 0  1 11  6  5  1  0 11  2  1  1  3  6  8  2  0
 0  0 12  0  4  8  4  8  4  0  0  0  8  4  4  0
 0  0  0 12  4 12 12 12  8  0 12  8  8  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+63x^12+144x^13+365x^14+874x^15+1187x^16+896x^17+378x^18+132x^19+43x^20+9x^22+2x^23+2x^24

The gray image is a code over GF(2) with n=128, k=12 and d=48.
This code was found by Heurico 1.16 in 0.0334 seconds.