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 0 2 0 2 2a 2a 2a^2+2a+2 2a^2+2a+2 2a^2+2 2a^2+2 0 2 2a 2a^2 2a^2+2a+2 2a^2 0 2a^2 2a^2+2 2 2a^2+2 2a 2a^2 2a^2+2a+2 2a^2+2a 2a^2+2a 2a^2+2a 2a^2+2a 0 2 2a 2a^2 2a+2 0 0 0 2 2a^2+2 2a^2 2a^2+2a 2 2a^2 2a^2+2 2a^2+2a 2a 2a^2+2a 2a 2a 2a+2 2a+2 2a+2 2a^2+2 2a 2a+2 2 0 2a^2 2a^2+2a 2a^2+2 2a^2 2 0 2a^2 2a 2a+2 2 2a^2+2 0 generates a code of length 34 over GR(64,4) who´s minimum homogenous weight is 224. Homogenous weight enumerator: w(x)=1x^0+35x^224+245x^232+3584x^238+168x^240+35x^264+28x^272 The gray image is a code over GF(8) with n=272, k=4 and d=224. This code was found by Heurico 1.16 in 0.009 seconds.