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 2 1 1 1 1 1 1 2 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 2a^2 2a+2 2a^2 2a^2+2 2 2a+2 2a^2+2a 2a^2 2a 2a^2 0 0 2a+2 2a^2+2a+2 2a^2 2a^2+2a 2a^2+2a 2a+2 2a^2+2 2a 2a^2+2a 2a 2a 2a^2 2a+2 2a+2 2a 2 2 2 2a^2+2 2a 2a^2 2a^2+2 2a^2+2 2 2a^2 2a 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+2 2a^2+2a 2a+2 2a^2+2a+2 2a^2+2 2a^2+2a+2 2a^2+2 2a^2+2a+2 2a^2 0 0 2a^2 2 2 2a 2a^2+2 2 2a^2+2 2a^2 2a^2+2 2a+2 2a+2 2a^2+2 2a+2 0 2a^2 2a^2+2 2a^2 0 0 2a^2+2a 2a+2 2a 2a^2+2a 2a^2+2a+2 2a 2a^2+2 0 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 2 2a^2+2a+2 2a^2+2a+2 2a 0 2 2a^2+2a+2 0 2a+2 2a 2a 2a^2+2a+2 2a^2+2 2a^2+2a 2a^2+2a 2a+2 0 2a^2+2 2a^2 2 2a^2 2a 2a^2+2a+2 2a 2a^2+2a+2 2a+2 2a+2 2 0 2 2a 0 2a^2+2 2a^2+2 2a^2+2a 2a 0 2a^2+2a 2a^2+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 2 2a+2 2a^2+2a 2a 2a+2 0 2a^2+2 2a^2+2a 2 0 2a^2 2a^2+2 2 2 2a^2+2a 0 2a 2a^2+2 2a^2+2a+2 2 2a^2+2a 2a^2+2a+2 2 2a^2+2a 2a^2+2 2a^2+2a 2a^2 2a^2+2 2a 2a 2a^2+2a+2 2a 2a^2 2a^2+2 2 2a^2+2 2a^2+2 0 0 2a 2a 0 2a^2+2a 2a^2+2a+2 2 generates a code of length 63 over GR(64,4) who´s minimum homogenous weight is 392. Homogenous weight enumerator: w(x)=1x^0+133x^392+1099x^400+2170x^408+2793x^416+3297x^424+3584x^427+3787x^432+50176x^435+4256x^440+175616x^443+4354x^448+4263x^456+3136x^464+2198x^472+952x^480+259x^488+70x^496 The gray image is a code over GF(8) with n=504, k=6 and d=392. This code was found by Heurico 1.16 in 40 seconds.