The generator matrix

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

generates a code of length 17 over Z16 who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+56x^13+222x^14+354x^15+875x^16+1114x^17+872x^18+332x^19+176x^20+60x^21+26x^22+2x^23+4x^24+2x^25

The gray image is a code over GF(2) with n=136, k=12 and d=52.
This code was found by Heurico 1.16 in 0.0509 seconds.