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

generates a code of length 35 over GR(64,4) who´s minimum homogenous weight is 224.

Homogenous weight enumerator: w(x)=1x^0+595x^224+448x^231+770x^232+6272x^239+770x^240+21952x^247+623x^248+518x^256+448x^264+308x^272+63x^280

The gray image is a code over GF(8) with n=280, k=5 and d=224.
This code was found by Heurico 1.16 in 78.6 seconds.