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 2 1 2 1 1 1 1 1 1 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 2a^2 2a+2 2a^2 2a^2+2 2 2a+2 2a^2+2a 2a^2 0 2a^2 2a^2+2 2a 0 2a^2 2 2a^2+2a+2 2a^2+2 2a 2a^2+2 2a 2a^2+2a+2 2a^2+2a+2 2a^2+2a 2a^2 2 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+2a 2a^2+2a 2a 2a^2 2 2a^2+2 2a^2+2a+2 2a+2 2a 2a^2+2a+2 2a+2 2 2 2a^2+2 2a^2+2a+2 2a^2+2a+2 2a+2 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^2+2a 2a+2 2a^2+2a 2a+2 0 2a^2+2 2a+2 2 2a^2+2a 2a^2+2a 2a^2+2a 2a^2+2a+2 2 2a^2+2a 2a^2+2a+2 0 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 2 2 2a^2+2 2a^2+2a 2a^2 2a^2+2a 2 2a^2+2 2a^2+2 0 2a^2+2a+2 2a^2+2a+2 2a^2 2a^2+2 2a^2 2a^2+2a generates a code of length 49 over GR(64,4) who´s minimum homogenous weight is 304. Homogenous weight enumerator: w(x)=1x^0+952x^304+1988x^312+2947x^320+3416x^328+3584x^329+4284x^336+50176x^337+5222x^344+175616x^345+5355x^352+4333x^360+2758x^368+1260x^376+231x^384+21x^392 The gray image is a code over GF(8) with n=392, k=6 and d=304. This code was found by Heurico 1.16 in 56.7 seconds.