The generator matrix

 1  0  0  0  1  1  1  0  4 10  1  1  8  2  1  1  1
 0  1  0  0  4  9  5  1  1  6 11 11  1 10  8  0  8
 0  0  1  0  5  1  6  5 11  1 15  8  3 12  2  4  0
 0  0  0  1  1  4  3  5 10  3 11 10  4  1  6 13  4
 0  0  0  0  8  0  8  8  0  0  0  8  8  8  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+176x^12+1086x^13+4335x^14+12266x^15+29331x^16+36420x^17+29643x^18+12524x^19+4100x^20+894x^21+245x^22+42x^23+8x^24+1x^26

The gray image is a code over GF(2) with n=136, k=17 and d=48.
This code was found by Heurico 1.16 in 24.2 seconds.