The generator matrix

 1  0  0  1  1  1 12  1 10  1  1  1  6  1  1  1  1
 0  1  0  4  5  1  1  2  1 15 12  3  1 11  6  3 10
 0  0  1  7  3  4  3  1  5  6 10  5  6  4  8  3 14
 0  0  0  8  8  0  8  8  0  8  0  0  8  8  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+324x^14+912x^15+1624x^16+2552x^17+1568x^18+864x^19+286x^20+24x^21+36x^22+1x^24

The gray image is a code over GF(2) with n=136, k=13 and d=56.
This code was found by Heurico 1.16 in 0.163 seconds.