The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  2  2  4  1  1  1
 0 12  0  0  0  4 12  4  8 12  8  0  4  4  0  8 12
 0  0 12  0  4  4  4  8  0  4  8  0  4  8  4  8  4
 0  0  0 12  4  0  4  4  8  0 12 12  0 12  8  8  4
 0  0  0  0  8  0  0  8  8  8  0  0  8  0  8  8  8
 0  0  0  0  0  8  0  0  0  0  8  8  0  8  8  8  0

generates a code of length 17 over Z16 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+78x^12+210x^14+96x^15+1008x^16+1344x^17+972x^18+96x^19+209x^20+66x^22+15x^24+1x^28

The gray image is a code over GF(2) with n=136, k=12 and d=48.
This code was found by Heurico 1.16 in 0.0696 seconds.