The generator matrix

 1  0  1  1  1  4  1  6  1  1  1 10  8  8  1  1 10
 0  1  1  0 11  1 10  1 13  7  0  1  2  4  9  3  1
 0  0  2  6  4  6  6  4  0  6  4  2  6  2  0  4  6
 0  0  0 12  0  4  8 12  4  4  4 12  4  8  8 12  0
 0  0  0  0  8  0  8  8  0  8  8  0  8  0  8  0  8
 0  0  0  0  0  8  0  8  0  8  8  0  0  8  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+82x^12+360x^13+1158x^14+3488x^15+6439x^16+9712x^17+6439x^18+3488x^19+1158x^20+360x^21+82x^22+1x^34

The gray image is a code over GF(2) with n=136, k=15 and d=48.
This code was found by Heurico 1.16 in 1.73 seconds.