The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 2a^2+2 1 1 1 1 1 1 1 1 1 1 1 1 2a^2+2a 1 1 1 1 1 1 2a^2+2a+2 2a 1 1 2a^2+2 1 1 1 1 1 1 1 1 1 2a^2+2a+2 1 1 1 1 0 1 0 1 a a^2 3a+3 a^2+3a a^2+3a+3 a^2+2a+1 2a^2+2 2a^2+3 a+2 a^2+2 1 3a^2+3a+1 2 2a^2+2a+3 a+3 3a^2+2 3a^2+3a 3a^2+3 2a^2+a+2 2a^2+3a+1 a^2+3 3a^2+3a+2 3a^2+3a+3 1 2a+3 a^2+2a+2 2a 2a^2+3a 3a+1 a^2+3a+2 1 1 a^2+a+2 2a^2+a+1 1 3a^2+2a+3 a^2+a+3 a^2+3a a+1 3a^2+2 3a^2+1 3a^2 3a+2 a^2+2a+3 1 2a^2+a+1 3a^2+2a+1 2a^2+1 2a+1 0 0 1 a^2+2a+1 a 3a^2+3a+2 1 a^2+3a+3 2a^2+3a+1 a^2 3 a^2+a+3 2a^2+2 3a^2+2 a^2+2a+3 2a^2+2a+1 a+3 2a^2+a 3a^2+2a+1 2a 3a^2+3 a^2+3a+1 3a^2+a+2 3a a+1 a^2+3a+2 3a^2 2a^2+3a 2a^2+3 a^2+1 3a+2 a^2+2a 3a^2+3a+1 3a+1 3a^2+2a+1 a+3 2a^2+a+2 3a+3 a^2+2a 2a^2+2a+3 3a^2+a 2a^2+2a+2 3a^2+2a+3 3a^2+3a+3 3a^2+2a+1 2a^2+2a+1 3a^2+1 a+1 2a^2+3a 2a+1 a^2+3a+1 2a^2+3a+1 a^2+2 generates a code of length 53 over GR(64,4) who´s minimum homogenous weight is 354. Homogenous weight enumerator: w(x)=1x^0+3976x^354+5544x^355+168x^357+504x^358+5768x^360+4200x^361+20608x^362+19880x^363+448x^364+2352x^365+3024x^366+11389x^368+5040x^369+31528x^370+29624x^371+3136x^372+8232x^373+7224x^374+19075x^376+8680x^377+40656x^378+30968x^379+70x^384+21x^400+21x^408+7x^416 The gray image is a code over GF(8) with n=424, k=6 and d=354. This code was found by Heurico 1.16 in 13.6 seconds.