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 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 2a 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 2a^2+2a+2 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 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 3a^2+2a+2 2a^2+3 3a^2+2a+2 2a^2+3a+1 2a^2+3a+3 2a^2+a+3 2 3a^2+2a+2 1 a^2+3a+1 3a^2+3 a^2+a 2a^2+3 2 a^2+a+2 a+2 a^2+3a+1 3a^2+3 1 2a^2+2a+3 a+2 3a^2+3 a+2 2a^2+1 3a^2+3a+2 1 2a^2+2a a^2+3a+1 2a^2+a+3 a+2 2a^2+2a+1 a^2+3a a^2+a+3 a^2+3 3a^2+2 1 3a^2+a+1 2 2a^2+2a+1 2a^2+2a+2 a+3 2a^2+3a 3a^2 3a^2+3 a^2+a+3 2a^2+a 2a^2+3a+1 a^2+3 2a+2 2a^2+a+1 3a^2+2a 2a^2 a^2+2a+3 2a^2+3 a^2+3a+1 a^2+a+3 2a^2+2a+3 2 a^2+2a 3a^2+2a 3a^2+3a a^2+1 a+3 3a^2+3a+3 1 a^2+3a+3 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+2 2a^2+2a 2 2a^2+2a 2a^2+2a+2 2a+2 2a^2+2a 2a^2 2a^2 2a^2+2a+2 2a^2 2a^2+2 2a^2 0 2a^2+2a 2a^2+2a 2a^2+2a 0 0 2a^2+2a 2 2a^2+2a+2 2 2a 2a+2 2a^2+2 0 2a^2 0 2a+2 2a^2+2 0 2a^2 2a^2 2a+2 2a^2 2a^2 2a 2a^2+2 2 2a 2a+2 2 2a+2 2a^2+2a+2 2 2a^2+2a+2 2a^2+2a+2 0 2a^2 2a^2+2a 2a^2+2a+2 2a^2+2 2a^2 2 2a+2 0 0 2a 2a^2+2a+2 2a^2+2a+2 2a^2 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 2a^2+2 2 2a 2a+2 2a 2 2a^2+2a 2a^2+2a 2a^2+2 2a+2 2a^2+2a 0 0 0 2a+2 2a^2+2a 2a^2+2 2 2a+2 2a 2a+2 0 2a^2+2 2a+2 0 2a^2 2a^2+2a+2 2a^2 2 2a^2 2a^2+2a 2a 2a 2a^2+2 2 2 2a+2 2a^2 2a^2+2 2a^2 2a+2 2a^2 2a^2+2a 2a^2+2 2 2a^2+2a 2a 2 2a+2 2 2a^2 0 2a 2a 2a^2+2 2a 0 0 0 2a+2 2a^2+2a 2a^2+2a 2a^2+2 2 2 2a^2+2a generates a code of length 92 over GR(64,4) who´s minimum homogenous weight is 616. Homogenous weight enumerator: w(x)=1x^0+448x^616+280x^617+336x^620+392x^621+728x^622+4816x^623+714x^624+1904x^625+4536x^628+2856x^629+3304x^630+14728x^631+735x^632+4592x^633+9464x^636+5208x^637+5880x^638+25480x^639+588x^640+6944x^641+23464x^644+11704x^645+11256x^646+43288x^647+406x^648+9912x^649+19544x^652+8512x^653+7504x^654+26376x^655+273x^656+5040x^657+231x^664+224x^672+112x^680+189x^688+91x^696+21x^704+42x^712+14x^720+7x^728 The gray image is a code over GF(8) with n=736, k=6 and d=616. This code was found by Heurico 1.16 in 23.4 seconds.