The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+186x^36+96x^37+288x^38+288x^39+1446x^40+576x^41+1104x^42+2592x^43+6009x^44+1536x^45+4176x^46+7776x^47+11847x^48+2496x^49+5616x^50+7776x^51+8964x^52+1440x^53+1104x^54+156x^56+57x^60+6x^64

The gray image is a code over GF(4) with n=64, k=8 and d=36.
This code was found by Heurico 1.16 in 2.9 seconds.