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 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 2 1 1 1 1 1 2 1 1 1 1 0 1 1 a 0 2a^2+3 2 2a^2+3 2 2a^2+2a+3 2a 2a^2+2a+3 a a+2 a+2 3a 2a+1 2a 3a 2a^2+2a+2 2a+1 3a+2 3a^2+2 2a^2+3a+1 a^2+3a a^2+3a+3 3a^2+2a+3 2a^2+2a+2 1 3a+2 3a^2+2 a^2+3a 2a^2+3a+1 a^2+3a+3 3a^2+2a+3 1 3a^2+2a+2 a^2+3a+1 3a^2+3 2a^2+3a+3 a^2+a 1 3a^2+2a+2 2a^2+3a+3 a^2+a a^2+3a+1 3a^2+3 1 3a^2+2a 2a^2+a+1 3a^2+a 3a^2+2a 0 0 2a^2+2 2a 2a^2 2a+2 2a^2+2a+2 2a^2+2a 2a^2+2a 2a 2 2a^2+2a+2 0 2a+2 2 2a^2+2 2a^2 2a+2 2a^2+2a+2 2a 2 2a^2+2a 0 2a^2 2a^2+2 0 2a^2 2a^2+2 0 2a^2 2a^2+2a+2 2a^2+2a 2a^2+2a+2 2a^2+2a 2a^2+2 2 2a 2a 2a+2 2 2a+2 2a^2+2a 2a^2+2a 0 2 2a^2+2 2 2a 2 2a+2 2a^2+2a+2 0 generates a code of length 52 over GR(64,4) who´s minimum homogenous weight is 352. Homogenous weight enumerator: w(x)=1x^0+1113x^352+1120x^353+784x^354+4704x^356+3542x^360+2240x^361+1120x^362+1344x^364+6524x^368+3808x^369+1680x^370+4704x^372+14x^376+42x^384+28x^392 The gray image is a code over GF(8) with n=416, k=5 and d=352. This code was found by Heurico 1.16 in 0.164 seconds.