The generator matrix 1 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 2 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 1 1 2 1 1 1 1 1 1 1 1 1 2 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 a^2+3a 1 0 2a^2+3a+1 3a^2+2a+3 2a^2+3 a^2+3a+3 3a^2+2a+3 a 1 a^2+3a 0 3a^2+2 a^2+3a+3 2a^2+3a+3 2a^2+3 3a^2+2a+2 2 2a^2+3a+1 1 2a^2+3a+3 a+2 2 a^2+a a^2+3a+1 3a^2+3 3a^2+2a+2 a^2+a+2 3a 2 3a^2+1 3a^2+2a+2 2a^2+2a a+1 a^2+a 3a^2+1 2a^2+a+1 2a^2 3a^2+2a 3a^2+a a^2+3 2a^2+2a+2 a^2+a 3a^2+3a 3a^2+2a 3a^2+2a 2a+2 3a^2+3a a^2 2a^2+3 2a^2+2 a^2+2 2a^2+2a+1 a+2 a^2+3a+2 1 3a^2+2 a^2+3a+1 0 3a+1 2a^2+2a+3 3a^2+2a+1 2a^2+2a+1 2a^2+2a+1 a^2+a+2 0 0 0 2a^2+2 0 2 2 2a+2 2 2a^2 2a+2 2a^2+2 2a^2 2 2a^2+2a 2a^2+2a+2 0 2a^2+2 2 2a^2+2a+2 2a 2a 2a^2+2a 2a+2 2 2a^2+2a+2 2a^2+2 2a^2+2a+2 2a^2+2a+2 2a^2+2a 2 2a^2+2a 2a^2+2a 2a^2+2a 2a^2+2a+2 2a 2a^2+2a+2 2a 2a^2 2a^2 0 2 0 2a+2 0 0 2a^2+2a 2a^2+2a 2a^2+2a+2 2a+2 0 2a^2+2 2a^2+2 2a^2+2 2 2a^2+2 2a^2+2 0 2a^2 2 2a^2+2 2a^2+2a 2 2a+2 2a^2+2a 2a+2 2a^2+2a+2 2a^2+2a 2a+2 2a^2+2a 2a 2a+2 2a+2 2 2a+2 0 2a^2+2a+2 2 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+2 2a^2+2a+2 2a+2 2a+2 2a^2 2a^2 2a 2a^2 2 0 2a^2+2a 2a 2 2a 2a^2+2a 2 2a^2+2 0 2a 2a^2+2 2 2a+2 2a^2+2a 2a^2+2a 0 2a 2 2a+2 2a^2+2a 2a^2+2a+2 2a 2a^2 2a+2 2a 2 2a^2+2a+2 2a^2+2a 2a^2+2a+2 2a^2 2a^2+2 0 2a+2 2a^2 2 2a+2 0 2a^2+2a 2a^2+2 2a 2a^2+2a+2 2 2a 0 2a^2+2a 2a^2 2a^2+2a+2 2a^2+2a+2 2a^2+2a 2a 2a^2 2a+2 0 2 2a^2+2a 0 2a generates a code of length 77 over GR(64,4) who´s minimum homogenous weight is 512. Homogenous weight enumerator: w(x)=1x^0+1337x^512+56x^513+224x^514+1232x^516+6755x^520+1904x^521+1064x^522+8176x^524+13517x^528+7392x^529+4872x^530+16464x^532+22036x^536+22288x^537+11256x^538+34384x^540+30338x^544+25704x^545+11256x^546+25760x^548+15295x^552+196x^560+245x^568+154x^576+98x^584+91x^592+35x^600+14x^608 The gray image is a code over GF(8) with n=616, k=6 and d=512. This code was found by Heurico 1.16 in 18.5 seconds.