The generator matrix

 1  1  1  1  1  1  1  1  1  1  0  1  1  8  1 12  1
 0  2  0  6  4 14 12  2  0  8  2 12 10  2 12  2  8
 0  0 12  0  4  4  8  4  0  4  8  4  0 12  0  8  4
 0  0  0  8  8  0  8  8  8  8  8  0  8  0  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+46x^14+88x^15+190x^16+400x^17+160x^18+88x^19+43x^20+2x^22+5x^24+1x^28

The gray image is a code over GF(2) with n=136, k=10 and d=56.
This code was found by Heurico 1.16 in 0.00693 seconds.