The generator matrix

 1  0  1  1  1  1  1  1  1  0  1  1  1  1  2  0  2
 0  1  1  a a+1  0 2a+3  a a+1  1  0  a 2a+3 a+1  2  1  1
 0  0 2a+2  0  2  0  2 2a 2a 2a 2a  2 2a+2 2a+2 2a+2  0  2
 0  0  0  2 2a 2a  0 2a  2  2  0  2 2a  2 2a 2a  0

generates a code of length 17 over GR(16,4) who´s minimum homogenous weight is 43.

Homogenous weight enumerator: w(x)=1x^0+192x^43+168x^44+576x^47+240x^48+1344x^51+360x^52+960x^55+192x^56+48x^60+15x^64

The gray image is a code over GF(4) with n=68, k=6 and d=43.
This code was found by Heurico 1.16 in 0.0179 seconds.