The generator matrix

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

generates a code of length 17 over GR(16,4) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+186x^36+48x^39+540x^40+384x^42+576x^43+1521x^44+768x^45+3456x^46+2592x^47+3954x^48+4608x^49+10368x^50+5184x^51+5787x^52+6912x^53+10368x^54+3888x^55+3744x^56+447x^60+177x^64+27x^68

The gray image is a code over GF(4) with n=68, k=8 and d=36.
This code was found by Heurico 1.16 in 3.39 seconds.