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

generates a code of length 36 over GR(64,4) who´s minimum homogenous weight is 224.

Homogenous weight enumerator: w(x)=1x^0+147x^224+763x^232+2870x^240+10269x^248+17353x^256+581x^264+462x^272+259x^280+63x^288

The gray image is a code over GF(8) with n=288, k=5 and d=224.
This code was found by Heurico 1.16 in 0.341 seconds.