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 0 2 0 0 0 2 2 2 2a 0 2 2a 2a 2a 2a 2 2a 2a^2+2a+2 0 2a^2+2a+2 2a 0 2a^2+2a 2a^2+2 2a^2+2a+2 2a^2+2a+2 2a^2+2 2a+2 2a+2 0 2 2 2a+2 2a 2a^2 2a 2a^2+2 0 0 0 2 0 0 2a^2+2 2a^2+2a+2 2a^2+2a 2a^2+2a 2 2a+2 2a^2+2 0 2 2a^2+2a+2 2a^2 2a 2a^2+2 2a^2 2a+2 2 2 2a^2+2a 2 2a+2 2a^2+2a+2 2a+2 2a+2 2a 2a^2 2a^2 2a 2a^2 2 2a^2+2a+2 2a 2a 0 0 0 0 2 0 2 2a^2+2a+2 2a 2a+2 2a^2 2a^2+2 0 2a^2+2a+2 2 2a 2a^2+2a 2a^2+2a 2a^2+2a 2 2a^2+2a+2 2a^2+2a+2 2 2a^2+2 2 2a^2+2a 0 2 2a^2 2a^2+2a 2a^2 0 2a^2+2a+2 2a^2+2 2a^2+2a+2 2a^2 2a^2 2a^2+2a+2 0 0 0 0 0 2 2a^2+2 2a+2 2a 2a^2+2a+2 2a 2a^2 2a^2 2a+2 0 2a 0 2a^2 2a^2+2a 2a^2+2a 2a+2 2a^2+2a 0 2a^2 2a+2 2 2a^2 2a+2 2a+2 2a^2+2 2 2a 0 2a+2 2a^2+2 2a^2 2a 2a+2 0 generates a code of length 38 over GR(64,4) who´s minimum homogenous weight is 224. Homogenous weight enumerator: w(x)=1x^0+266x^224+1232x^232+2387x^240+2996x^248+4585x^256+5334x^264+229376x^266+5754x^272+5600x^280+3304x^288+1190x^296+119x^304 The gray image is a code over GF(8) with n=304, k=6 and d=224. This code was found by Heurico 1.16 in 21.5 seconds.