The generator matrix

 1  1  1  1  1  1  1  2  0  1  2  2 12  0  2  0
 0  2 12  6  0  6 12  6  2 10 10  6  2  2  6  2
 0  0  8  0  0  0  0  0  0  8  8  8  0  0  8  8
 0  0  0  8  0  0  0  0  8  8  8  0  0  8  8  0
 0  0  0  0  8  0  0  8  8  8  8  8  8  0  0  8
 0  0  0  0  0  8  0  8  8  8  0  0  0  8  0  8
 0  0  0  0  0  0  8  8  0  8  8  0  8  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+124x^12+128x^13+448x^14+896x^15+909x^16+896x^17+448x^18+128x^19+108x^20+10x^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 0.0489 seconds.