The generator matrix

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

generates a code of length 75 over GR(16,4) who´s minimum homogenous weight is 216.

Homogenous weight enumerator: w(x)=1x^0+30x^216+48x^219+66x^220+288x^223+39x^224+432x^227+57x^228+42x^232+18x^236+3x^292

The gray image is a code over GF(4) with n=300, k=5 and d=216.
This code was found by Heurico 1.16 in 0.078 seconds.