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 1 1 1 1 2a^2+2 1 2a^2+2a+2 1 1 1 1 1 1 2a 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 2a^2+a+3 3a^2+a 2a^2+3a+2 a^2+a+1 1 3a+2 1 2a^2+2a a^2+2a 3a^2+3a+2 3a^2+a+1 a^2+2a 3a^2+3a+1 2a^2 2a^2+2a+3 2a+3 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 3a^2+3 a^2+a+2 3a^2+3a+3 a^2+3 a^2+2a a^2+a 2a^2 a^2+2 3a 3 a^2+a+1 3a^2+3a 2a^2+3a+1 1 3a^2+2 3a+1 generates a code of length 51 over GR(64,4) who´s minimum homogenous weight is 340. Homogenous weight enumerator: w(x)=1x^0+3136x^340+5152x^341+168x^343+490x^344+1680x^345+4816x^346+5040x^347+19040x^348+18592x^349+896x^350+2352x^351+2184x^352+5600x^353+10528x^354+6048x^355+27776x^356+26208x^357+6272x^358+8232x^359+4858x^360+10640x^361+16912x^362+10416x^363+36064x^364+28896x^365+63x^368+35x^376+14x^384+21x^392+14x^400 The gray image is a code over GF(8) with n=408, k=6 and d=340. This code was found by Heurico 1.16 in 9.63 seconds.