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 2 1 1 1 1 1 1 1 1 1 1 2 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 2 0 2a^2+2a 2a^2 2a+2 2a^2+2a+2 2a+2 2a^2 2a+2 2a^2+2a+2 2a 2a^2+2a+2 2a 2a^2+2a 2a+2 2 2 2a^2+2a 2a 2a^2+2a 2a 2 2a^2+2 2a^2+2 2a^2 2a^2+2 2 2a^2+2a 2a+2 2a^2 2a^2 0 2a^2+2 2a+2 2a^2+2a 2 2a^2+2 2a 2a^2 0 2a^2 2a^2 2a^2 2 2a+2 2a 2 2a 0 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 0 2a^2 2a 2a^2+2a+2 2a^2+2a 2a+2 2a^2 2 2a^2+2a+2 2 2a^2+2a+2 2a 2 2a+2 0 2a^2 2a^2+2 2a^2+2a+2 2a^2+2a+2 2a^2+2 2a^2+2a 2a^2 2a^2+2a+2 2a^2+2a 2a^2 2a^2+2a 2 2a^2+2 2a^2+2a+2 2a^2+2 2a^2 2a 2a 2a^2 2a^2 0 2 2 2a^2+2a+2 2a^2+2a 0 2a^2 2a^2 2 2a^2+2a 2a^2 0 0 2a^2+2 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 2a^2+2a 2a 2 0 2 2a+2 2a^2+2a 2a^2+2 2a^2+2a 2 2a^2+2a 2a 0 0 2a^2 2a^2+2a+2 2a+2 2 2a 2a^2+2 2a^2+2a 2a^2+2a 2a^2 2a+2 2a^2+2a+2 2 2a^2 2a^2+2a 2 2a+2 2a^2+2a+2 2a+2 2 2 0 0 2a^2 2a^2 2a^2+2a 0 2a^2+2a 2a^2+2 2a 0 2a^2+2a+2 2a+2 2a+2 2 2a^2 2 2a 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 2 2a+2 2a^2+2a 2a 2a+2 2a 2 2a^2+2a+2 0 2a^2+2a+2 2a^2+2a+2 2 2a^2+2a 0 2a^2+2a+2 0 2 2 2 0 2a^2 2 2a+2 2a^2+2a+2 2a+2 2a^2+2 2a+2 0 2a+2 2 2 0 2 2a+2 2a+2 2a^2+2a 2a 2a^2+2a 2a^2+2a 2 2a^2 2a^2+2a+2 0 2a^2+2 2a^2+2a+2 2a^2+2a+2 2a 2a^2 2a 2a+2 2a^2+2a 2a generates a code of length 70 over GR(64,4) who´s minimum homogenous weight is 440. Homogenous weight enumerator: w(x)=1x^0+147x^440+924x^448+2296x^456+2744x^464+3360x^472+3584x^476+3654x^480+50176x^484+3955x^488+175616x^492+3969x^496+4263x^504+3395x^512+2268x^520+1148x^528+490x^536+126x^544+21x^552+7x^560 The gray image is a code over GF(8) with n=560, k=6 and d=440. This code was found by Heurico 1.16 in 45.5 seconds.