The generator matrix

 1  0  1  1  6  1  1  1  4  1  1 10  1  1  2  1  1
 0  1  1  6  1 11 13  4  1  2  3  1 12 15 10  8  3
 0  0  2  0  8  4 12  2  2 10 14  6  6  6  6 10 12
 0  0  0  8  8  0  8  8  8  0  0  8  0  8  0  0  0

generates a code of length 17 over Z16 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+148x^14+512x^15+780x^16+1288x^17+704x^18+496x^19+134x^20+8x^21+20x^22+5x^24

The gray image is a code over GF(2) with n=136, k=12 and d=56.
This code was found by Heurico 1.16 in 0.0399 seconds.