The generator matrix

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

generates a code of length 17 over GR(16,4) who´s minimum homogenous weight is 47.

Homogenous weight enumerator: w(x)=1x^0+1152x^47+540x^48+768x^51+192x^52+1152x^55+288x^56+3x^64

The gray image is a code over GF(4) with n=68, k=6 and d=47.
This code was found by Heurico 1.16 in 0.094 seconds.