The generator matrix

 1  0  1  1  1  6  1  1 12  1  1  1  1  1  1  1
 0  1  3  6  5  1 12 15  1  0 10  9  3 15  3  0
 0  0  8  0  0  8  8  0  0  8  0  8  0  0  8  0
 0  0  0  8  0  8  8  8  8  0  0  0  0  8  8  0
 0  0  0  0  8  8  8  8  0  8  8  0  0  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+18x^12+76x^13+112x^14+660x^15+315x^16+660x^17+110x^18+76x^19+18x^20+2x^26

The gray image is a code over GF(2) with n=128, k=11 and d=48.
This code was found by Heurico 1.16 in 0.0089 seconds.