The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  2  2  1
 0  1  3  6  5  1 12 15  1 10  9  1  0  6  6  0  0
 0  0  8  0  0  0  0  8  0  8  8  8  0  0  8  0  0
 0  0  0  8  0  0  8  8  0  8  0  8  0  8  0  0  0
 0  0  0  0  8  0  8  0  8  8  8  8  0  8  8  0  0
 0  0  0  0  0  8  0  8  8  8  0  8  8  8  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+50x^12+68x^13+82x^14+356x^15+1047x^16+792x^17+1054x^18+536x^19+54x^20+36x^21+14x^22+4x^23+2x^26

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 0.0293 seconds.