The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+50x^12+48x^13+208x^14+448x^15+2697x^16+1312x^17+2656x^18+448x^19+244x^20+48x^21+16x^22+14x^24+2x^28

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 0.0989 seconds.