The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+93x^36+96x^39+456x^40+192x^42+864x^43+1455x^44+1152x^46+2592x^47+2802x^48+1728x^50+2592x^51+2139x^52+156x^56+57x^60+9x^64

The gray image is a code over GF(4) with n=64, k=7 and d=36.
This code was found by Heurico 1.16 in 0.223 seconds.