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 1 1 1 1 1 1 1 2 1 1 1 1 1 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 2a^2+2 0 2a 2a^2+2a+2 0 2a^2+2a+2 2a^2+2a 2a 2a+2 2a 2a^2 2a^2 2a^2+2 2a^2 2a+2 2a^2 2a^2+2 2a^2+2a+2 2a^2 2a^2+2a+2 2a^2+2 2a^2+2a 2a^2+2a+2 2a 2a^2+2 2a+2 2a^2+2 2a 2a^2+2a 2a 2a+2 2a+2 2a^2+2a 2a 2a^2+2a 0 0 2a^2 2 2a 2a^2 2a+2 2a^2+2a 2a^2+2a 0 2a^2+2a 2a^2+2a 2a+2 2 2a^2+2a 0 2a^2 2a^2+2 2a^2 0 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 2 2a^2+2a+2 2 2a^2+2a 2a^2+2a 0 2a^2+2a+2 2a^2+2 2a 0 2a+2 2a^2+2a 2a^2 2a^2+2a+2 2a^2+2 0 2a+2 2 2a^2+2 2 2a^2+2a 2a+2 2 2a+2 2a^2 2a^2 2a+2 2a^2+2a 2a+2 0 2a^2+2 2a^2 2a^2+2a 2a+2 2a^2 2a^2 2a 2a^2+2a 2 2a^2+2a+2 2a 2a+2 2a^2+2 2a^2 2a 2a+2 2a^2+2 2a^2+2a+2 2 2a 2a^2+2 2a+2 2a^2+2a+2 2a 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 2a 2a^2+2a 2a 2a+2 2a+2 2a^2+2 2a 2a^2 0 2 2a^2+2a+2 2a^2+2a 2a^2+2 2a^2+2 2 2a^2+2 2 0 2a^2 2a^2+2a+2 2a^2 2a^2 2a^2+2a 2 0 2a+2 2 2a^2+2a 2a^2+2a 2 2a 2 2a^2+2 2a+2 0 2a^2 2a+2 0 0 2a^2+2 2a^2 0 2a+2 2a^2+2a+2 2a^2+2a+2 2a^2 2a^2 2a^2+2a 2a 0 2a^2+2a+2 2a^2+2a+2 2 2a^2+2a+2 2 generates a code of length 68 over GR(64,4) who´s minimum homogenous weight is 448. Homogenous weight enumerator: w(x)=1x^0+273x^448+833x^456+700x^464+3584x^469+518x^472+25088x^477+483x^480+392x^488+224x^496+259x^504+245x^512+105x^520+42x^528+21x^536 The gray image is a code over GF(8) with n=544, k=5 and d=448. This code was found by Heurico 1.16 in 0.732 seconds.