The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2a 1 2a^2+2a 1 2a^2+2a+2 1 1 2a 1 2a^2+2 1 2a^2+2a+2 1 1 1 1 1 1 1 1 1 1 1 2a^2+2a 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 2a^2+2 2a 2a^2+2a 2 2a^2+2a+2 2a+2 2a^2 1 2a^2+a+2 a^2 2a^2+3 3 2a^2+2a+3 2a+3 2a^2+2a+1 2a^2+1 2a+1 a+2 2a^2+3a+2 3a^2+2 a^2+2 1 a 1 3a^2 1 2a^2+3a a^2+2a+2 1 3a^2 1 2a^2+a 1 3a+2 3a^2+2a+2 3a^2+2a+2 3a 3a^2+a 3a^2+3a a^2+a a^2+3a 3a^2+a a^2+a a^2+3a 1 3a^2+3a+2 3a^2+1 a^2+2a+3 a^2+1 3a^2+3 3a^2+2a+3 a^2+1 a^2+2a+3 3a^2+1 a^2+3a+1 a^2+a+3 3a^2+3a+1 a^2+a+1 a^2+3a+1 3a^2+3a+3 a^2+3a+3 a^2+a+3 a+1 2a^2+3a+1 2a^2+3a+3 2a^2+2a 3a^2+3a+2 2a^2+a 2a^2+3 0 0 1 1 a a^2 3a+3 a^2+3a a^2+3a+3 a^2+2a+1 a^2+2a+3 3a^2+2a+1 a^2+1 a^2+3a+1 a^2+a a+1 a^2+2a a+2 2a^2+3 2a^2+2a+2 2a^2 2a^2+2a+3 3a^2+3a+1 a^2+3a+2 3a+3 2a^2+3a a^2+3a+2 3a^2 3a 3a^2+a+3 3a+1 3a^2+a+3 2a^2+a+2 2a+1 3a^2+a 3a^2+2a 2a^2+a+1 2a^2+3 2a^2+2a 3a^2+2a 2a+2 3a^2+a+1 2a+3 3a^2+3 a+1 2a^2+3a+2 3a^2+2a 3a^2+2a+3 a^2+a a^2+2a 2a^2+a+3 a^2+a+3 1 3a^2+1 3a^2+3a+2 2a^2 3a a^2+2a+2 a^2+a+1 2a^2+a+3 3a^2+1 3a+2 2a+2 3 3a^2+a+2 2a^2+2a+3 2a^2+a+1 3a^2+2a+2 a^2+2a+2 3a+3 a^2+3a a+2 generates a code of length 72 over GR(64,4) who´s minimum homogenous weight is 488. Homogenous weight enumerator: w(x)=1x^0+5334x^488+11424x^489+7448x^490+1344x^491+336x^492+21784x^496+26432x^497+17752x^498+1904x^499+1120x^500+26922x^504+33824x^505+13832x^506+2016x^507+2128x^508+32480x^512+35840x^513+18312x^514+1904x^515+7x^544 The gray image is a code over GF(8) with n=576, k=6 and d=488. This code was found by Heurico 1.16 in 14.3 seconds.