The generator matrix 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 a 3a^2+2 2a^2+3a+1 a^2+3a a^2+3a+3 3a^2+2a+3 a 3a^2+2 0 2a^2+3 a^2+3a+3 a^2+3a 3a^2+2a+3 2a^2+3a+1 1 2a^2+3 a^2+3a+3 2a^2+3a+1 a 3a^2+2 3a^2+2a+3 1 a^2+3a 0 2a^2+3 a^2+3a+1 1 a+2 a^2+a 3a^2+3 3a^2+3a+3 3a^2+2a+2 2a^2+3a+3 2a+3 1 3a^2+2a+2 a^2+a 3a^2+1 2a^2+3a+3 2 3a a^2+a+3 2a 3a^2+2a+2 3a^2+2a 2a^2+3a+2 a^2+1 3a^2 2a^2+2a+1 3a 0 0 0 2a^2+2 0 2 2 2a+2 2 2a^2 2a+2 2a^2+2 2a^2 2a^2 0 0 2a^2 2a^2+2 2 2 2a 2a+2 2a^2+2a 2a+2 2a 2 2a 2a^2+2a 2a^2+2a 0 2a^2+2a 2a^2+2 2a^2+2a+2 2a^2+2a 2a^2+2 2a^2 2a+2 2a^2 2a^2 0 2a^2+2 2a+2 2a^2 2a^2+2a 2a 2a^2+2 2a 2a^2+2a+2 2a^2+2 2a^2+2a+2 2a 2a 2 2 2a 0 0 0 2 2a^2+2 2a^2+2a+2 2a+2 2a^2 2a^2+2a+2 2a^2+2 2a^2+2 2a^2+2a 2a 2a^2 2a^2+2a+2 0 2a^2+2a 2a^2+2a+2 2a 2a+2 0 2a^2+2a 2 2a^2+2 2 2a^2 2a 2a+2 2a 0 2a+2 2a^2+2a+2 2a^2+2 0 2 2a^2 2a^2+2a 0 2a^2 2 2a^2+2a 2a 2a^2 2a^2+2a 2a^2+2a+2 2a 2a^2+2 2a+2 2a 2 2a+2 2a^2 2a^2+2a+2 0 generates a code of length 54 over GR(64,4) who´s minimum homogenous weight is 352. Homogenous weight enumerator: w(x)=1x^0+399x^352+56x^353+168x^354+1624x^359+4774x^360+1512x^361+2296x^362+8568x^367+15183x^368+4536x^369+4648x^370+31752x^375+45430x^376+11256x^377+11816x^378+44072x^383+51898x^384+11312x^385+9744x^386+357x^392+266x^400+224x^408+168x^416+63x^424+21x^432 The gray image is a code over GF(8) with n=432, k=6 and d=352. This code was found by Heurico 1.16 in 12.4 seconds.