The generator matrix 1 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 2 1 2a 1 2a^2+2a 1 1 1 1 1 2a 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2a^2+2a 1 1 1 1 1 1 1 1 0 1 1 a 3a^2+2 2a^2+3a+1 a^2+3a a^2+3a+3 3a^2+2a+3 a 3a^2+2 a^2+3a 1 0 2a^2+3a+1 3a^2+2a+3 2a^2+3 a^2+3a+3 3a^2+2 3a^2+2a+3 2a^2+3a+1 1 a^2+3a 1 a^2+3a+3 1 a^2+a 1 3a^2+3 0 3a^2+1 3a^2+2a+2 2a^2+3a+3 1 2a^2+3 a^2+3a+1 a 2 a^2+3a+2 a^2+3a+1 2a^2+3 a+2 2a^2+3a+3 2a^2 2a^2+a a^2+3a+1 3a^2+2a+2 3a+2 3a^2+a+2 2a^2+3a+1 2a^2 2a^2+2a+3 2a^2 1 a^2+3a+1 3a^2+2a+3 2a^2+a+3 2a+2 2a+3 a+3 a 0 0 0 2a^2+2 0 2 2 2a+2 2 2a^2 2a+2 2a^2+2 2a^2 2 2a^2+2a 2a^2+2a+2 0 2a^2+2a 2 2a 2a^2+2a+2 2a^2+2a+2 2a^2+2a 2 2a^2+2a+2 0 2a 2a^2+2a 2a^2 0 2a+2 2a^2 2a^2+2a+2 2a+2 2a+2 2a^2+2a+2 0 0 2a+2 2a^2+2 2a^2+2a 2 2a^2+2 2 0 2 2a^2 2a^2 2a^2+2 0 2a+2 2a^2+2a+2 2 2a^2+2a 2a^2+2 2a 2a^2+2a+2 2 2a^2+2 2a^2+2a 2a^2+2 2a+2 2a^2+2 0 0 0 2 2a^2+2 2a^2+2a+2 2a+2 2a^2 2a^2+2a+2 2a^2+2 2a^2+2 2a^2+2 2a^2+2a+2 2a+2 2a+2 2a^2 2a^2+2a+2 2a 2a^2 2a^2 2a^2+2a 2a 2 2 2a^2+2 0 2 2a^2 0 2a^2+2a+2 2a+2 0 0 2a^2 2a^2+2 2a^2 2a^2+2a 2a 2a^2 2a^2+2 2a^2+2a 2a^2+2a+2 2a 2a^2+2a+2 2a+2 2a^2+2a 2a^2 2a 2a+2 2a^2+2a 0 2a^2 0 2a^2 2a^2+2a 2a+2 2a^2+2 2a+2 2a 0 2a^2 2a^2+2a+2 generates a code of length 62 over GR(64,4) who´s minimum homogenous weight is 408. Homogenous weight enumerator: w(x)=1x^0+441x^408+224x^409+392x^410+616x^411+560x^415+3906x^416+2968x^417+4368x^418+2352x^419+2800x^423+11347x^424+8568x^425+9632x^426+5376x^427+10640x^431+34328x^432+23240x^433+23408x^434+11984x^435+14672x^439+38878x^440+22344x^441+19544x^442+8344x^443+420x^448+315x^456+182x^464+147x^472+91x^480+56x^488 The gray image is a code over GF(8) with n=496, k=6 and d=408. This code was found by Heurico 1.16 in 14.4 seconds.