The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+217x^12+116x^13+758x^14+1908x^15+2593x^16+5160x^17+2628x^18+1928x^19+783x^20+100x^21+166x^22+4x^23+21x^24+1x^32

The gray image is a code over GF(2) with n=136, k=14 and d=48.
This code was found by Heurico 1.16 in 14.8 seconds.