The generator matrix

 1  1  1  1  1  1  1  1  2  0  2  0  1  1  1  1
 0  2  0  6  4  6 12  2  6  2 10  2  8  0 14  6
 0  0 12  0  4  0  0  8  8  4  8  4  0 12 12  0
 0  0  0 12  0  0  8  4  8  4  0 12  4 12  8  8
 0  0  0  0  8  8  8  8  0  0  0  0  0  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+92x^12+64x^13+504x^14+704x^15+1385x^16+704x^17+480x^18+64x^19+84x^20+8x^22+6x^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 0.0732 seconds.