The generator matrix 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 2a 1 1 1 2a 1 1 1 1 1 1 1 1 2a^2 1 1 1 1 1 1 2a^2 1 0 1 1 a 3a^2+2 0 2 2 2a^2+3 2a^2+2a+2 2a^2+3 2a^2+2a+3 2a^2+2a+3 2a+2 2a+1 2a+1 2a+2 a^2+3a+3 2a^2+3a+1 1 2a^2+2a+2 a^2+3a 3a^2+2a+3 1 a 3a^2+2 2a^2+3a+1 a^2+3a 3a^2+2a+3 a^2+3a+3 a+2 2a^2+3a+3 3a^2+3 1 a^2+a 3a^2+2a+2 a^2+3a+1 a+2 2a^2+3a+3 a^2+a 3a^2+2a+2 a^2+3a+1 3a^2+3 1 3a 3a^2+2a a^2+a+1 2a^2+a+1 3a^2+a 3a^2+2a+1 1 3a^2+3a+3 a^2+2a+3 3a 1 a^2+2 a+1 a^2+a+2 3a^2+3a+3 a^2+2a+3 3a^2+2a 2a^2+a+1 2a^2+a+2 1 a^2+a+2 2a^2+a+2 a^2+2 a+1 a^2+a+1 3a^2+2a+1 1 3a^2+a 0 0 2a^2+2 2a 2 2a^2 2a^2+2a+2 2a^2+2 2a^2+2a 2a 2 2a+2 2a^2 2a^2+2a 2a^2+2a+2 0 2a+2 0 2 2a 2 2a+2 2a 2a 2a^2 2a^2+2a 2a^2 0 2a^2+2a+2 2 2a^2+2 2a+2 0 2a^2 2a^2+2a+2 2a^2+2 2a^2+2 2a^2+2a+2 2a 2a^2+2a 2a^2 2a^2+2a 2a+2 2a^2+2a+2 0 2a 2a^2+2a+2 0 2a^2+2 2a^2+2a 2 2a+2 2 2 2a^2+2a 2a+2 2a^2+2a+2 2a+2 2a^2 2a^2+2 0 2a^2+2a 2a+2 2a^2+2 2a^2+2a 2a^2+2a 2a^2+2a+2 2a^2+2 2a 2a^2 2a+2 0 generates a code of length 72 over GR(64,4) who´s minimum homogenous weight is 496. Homogenous weight enumerator: w(x)=1x^0+14112x^496+4480x^504+14175x^512 The gray image is a code over GF(8) with n=576, k=5 and d=496. This code was found by Heurico 1.16 in 29 seconds.