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 2 1 1 2 1 2 1 2 1 1 1 1 1 1 1 1 1 0 2 0 0 0 0 0 0 2 2 2a^2+2a 2 2a^2+2a 2a^2 2a^2+2 2a^2+2a 2a^2+2a+2 2a+2 2a^2+2a 2a^2 2a^2 2a 2a^2+2a 2a^2+2a+2 2a+2 2a 2a^2 2a^2+2a+2 2a 2a^2+2a+2 2a^2+2 2 2a^2 2a+2 2a^2+2 2a^2+2 2 2a^2 2a+2 2a 2a^2 2a^2+2 2a^2+2a 2a^2+2 2a^2+2a+2 2a 2a^2 2a^2+2 2 2 2a^2+2a 2 2 2a+2 2 2a^2 2 2a 2 2a^2+2a 2a^2+2a 2a^2+2a 2a^2+2a 2a^2 2 2 2a^2+2 2 0 0 2 0 0 2 2 2a 2a^2+2 2a^2 2a^2+2a+2 2a^2+2a+2 2a+2 0 2 2a 0 2a+2 2a^2+2a 2a^2+2 2 2a^2+2a+2 2 2 2a^2+2a+2 2a+2 0 2a^2 2a^2+2 2a^2+2a+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 2a+2 2a^2+2a+2 2a^2 2a 2 2a 2a^2+2a+2 2a^2+2 2 2a^2 0 0 2 2a^2 2a^2+2a+2 2 2a 2a 2a^2 2a+2 2a 2a^2+2 2a^2+2 2a^2+2a 2 2 0 0 0 2 0 2a^2+2 2a^2+2a+2 2a 2 2a+2 2 2 2a^2 2a^2+2a 2a^2+2a 2a^2+2 2a^2+2a+2 2 2 2a^2 2a^2+2 2a^2+2a+2 2a 0 2a 2a^2+2a 2a^2+2a 2a+2 2a 2a 2a+2 2a+2 2a 0 2 2 2 2a 2a^2+2 0 2 2a^2+2a 0 2a^2+2a+2 2a^2+2 2a 2a 2 2a 0 2a^2+2a 0 2a+2 2 2a^2+2a 2a 2a^2+2a+2 2a^2+2a 2a^2 2a^2+2a 2a^2 2a^2+2a 2a 2a+2 2a^2+2a 2a+2 2 2a^2+2 0 0 0 0 2 2 2a^2+2a 2a^2+2a 2 2 2a^2+2a+2 2a^2+2a 2 2a^2+2 0 2a+2 2a 2a+2 2a^2+2a+2 2a+2 2a+2 2a^2+2 2a+2 2a+2 2 0 2 2a^2+2a 2 0 0 2a^2 2a 0 2 2a^2 2a^2+2a+2 2a^2 2a^2+2a+2 2a^2 2a 2a+2 2a^2+2a+2 2a^2+2 2a^2+2a 2a^2+2a+2 2a^2+2a+2 0 2 2a^2+2a 2a+2 2a+2 2a^2+2a 2a^2 2a 2a^2+2 2 0 0 2a^2+2a 2a^2+2 2a+2 2a^2+2 2a^2+2a+2 2a^2+2a+2 2a^2+2a 2a^2+2a+2 2a^2+2a+2 generates a code of length 68 over GR(64,4) who´s minimum homogenous weight is 432. Homogenous weight enumerator: w(x)=1x^0+686x^432+1925x^440+2737x^448+4837x^456+19992x^464+80647x^472+138782x^480+3934x^488+3969x^496+2548x^504+1358x^512+511x^520+203x^528+14x^536 The gray image is a code over GF(8) with n=544, k=6 and d=432. This code was found by Heurico 1.16 in 44.3 seconds.