The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+144x^36+432x^40+192x^42+456x^44+1728x^46+588x^48+5184x^50+912x^52+5184x^54+1008x^56+360x^60+147x^64+48x^68

The gray image is a code over GF(4) with n=68, k=7 and d=36.
This code was found by Heurico 1.16 in 0.433 seconds.