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 2a^2+2a+2 1 1 1 1 1 1 1 1 1 2a+2 1 1 1 1 1 0 1 2a^2+2a 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 2a^2+2a+1 2a^2+a+1 3a^2+2a+3 3a+2 a^2+3a 3a^2+2 a^2+a+3 a^2+2a 2a^2+a+3 1 3 3a^2+a 2a^2+a+1 2a^2 1 1 2a^2+3a 1 2a^2 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 a+3 3a^2+2a+1 a^2+a+3 3a+3 2a^2+2a+3 3a^2+2a+1 2a^2+2a+2 3a^2+3a+3 3a^2+a a^2+2 a^2+1 a+2 3a^2+2a+3 a^2+a+2 2a^2+3a 2a^2+1 3a^2 a^2+3a+1 3a^2+3a+2 2 a^2+2 generates a code of length 55 over GR(64,4) who´s minimum homogenous weight is 368. Homogenous weight enumerator: w(x)=1x^0+2793x^368+6328x^369+2464x^370+224x^371+168x^372+672x^373+3360x^374+2464x^375+16877x^376+23184x^377+7000x^378+3136x^379+1008x^380+2240x^381+6720x^382+3136x^383+24395x^384+31416x^385+14896x^386+10976x^387+2408x^388+4256x^389+11424x^390+5152x^391+31605x^392+35840x^393+7896x^394+42x^400+14x^408+7x^416+28x^424+14x^432 The gray image is a code over GF(8) with n=440, k=6 and d=368. This code was found by Heurico 1.16 in 10.6 seconds.