The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+93x^12+383x^14+256x^15+594x^16+256x^17+371x^18+79x^20+13x^22+1x^24+1x^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 0.0195 seconds.