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 2 1 1 1 1 1 1 1 1 2a^2+2 1 1 1 1 1 2 1 1 1 1 1 1 2a 1 1 2a^2+2a+2 1 1 1 1 2a^2+2a 1 1 2a^2+2a 1 1 1 1 1 1 2a^2+2a 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 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 a^2+3a+1 3a^2+3 1 2a^2+3a+3 2 3a^2+3 a+2 3a^2+2a+2 a^2+a 2a^2+2a a^2+a+2 1 a^2+3a+1 a^2+2a+2 a^2+3a+1 3a a^2+3a+1 1 2 3a^2+a+2 2a^2+2a+2 a+1 a^2+a+3 3a^2+2a 1 2a^2+a+1 3a^2+a+1 1 2 a+3 3a+1 2a^2+3a+3 1 3a^2+a+3 0 1 a^2+2a+1 a^2+3 3a 2a^2 a^2+a a+1 1 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^2+2a 2a^2+2a 2a^2+2a 2 0 0 2a^2 2a^2+2 0 2a^2 2a^2+2a 2a^2+2a 2a+2 2 2a^2+2a 2a^2 2 2a^2+2a+2 2 2a^2+2 0 2a^2+2a 2a^2+2a+2 0 2a^2+2a+2 2a^2+2a 2a 2a 2a^2 2a+2 2a^2+2 0 0 2a 2a^2 2a 2a^2 2a^2 2a^2+2a+2 2a+2 2 2a^2 2a^2+2a 0 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 2 2a^2+2a+2 2a 2a^2+2a 2 2a^2+2a+2 2a+2 2a+2 2a+2 2a^2+2 2a^2+2a 0 2a+2 2a^2 2a 2a^2+2a 2a^2 2a+2 2a 2a^2+2a+2 2a^2+2a+2 2a 2a^2+2a 2a^2 2a^2 2a^2+2a 2a 2a^2+2 2a^2 2a^2+2 0 2a^2+2a+2 0 2a 2a^2 2a^2+2 2a 2a^2+2a 2a^2+2 2a^2+2 2a^2+2a 2 generates a code of length 76 over GR(64,4) who´s minimum homogenous weight is 504. Homogenous weight enumerator: w(x)=1x^0+539x^504+280x^507+784x^510+1232x^511+3598x^512+6440x^515+3136x^518+5040x^519+9835x^520+16632x^523+6048x^526+14224x^527+13181x^528+46648x^531+11200x^534+30352x^535+21595x^536+44688x^539+7504x^542+6496x^543+11816x^544+245x^552+161x^560+196x^568+119x^576+112x^584+28x^592+14x^600 The gray image is a code over GF(8) with n=608, k=6 and d=504. This code was found by Heurico 1.16 in 18.1 seconds.