The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+46x^14+262x^15+402x^16+696x^17+358x^18+190x^19+45x^20+36x^21+11x^22+1x^26

The gray image is a code over GF(2) with n=136, k=11 and d=56.
This code was found by Heurico 1.16 in 0.016 seconds.