The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+60x^12+222x^13+360x^14+972x^15+1349x^16+2198x^17+1440x^18+1032x^19+300x^20+170x^21+56x^22+12x^23+18x^24+2x^25

The gray image is a code over GF(2) with n=136, k=13 and d=48.
This code was found by Heurico 1.16 in 0.174 seconds.