The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1
 0  2  0  6  8  6 12 14  0  6  6  4 10 10  8  8
 0  0 12  0  8  4  4  4  4  0  4  0  8  8  0  0
 0  0  0 12 12  4 12  8  4  0 12 12  4 12 12  4

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

Homogenous weight enumerator: w(x)=1x^0+30x^12+82x^13+101x^14+300x^15+1015x^16+312x^17+104x^18+68x^19+26x^20+6x^21+2x^22+1x^30

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 0.0147 seconds.