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 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 a^3*X 1 1 1 X 1 1 1 1 a^2*X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 a a^6*X+a^2 a^3 a^6*X+a^4 a^5 a^6*X+a^6 a a^6*X+a^2 a^6*X+a^4 1 0 a^3 a^6*X+a^6 a^6*X+1 a^5 a^6*X+a^6 a 1 a^6*X+a^4 0 a^6*X+a^2 a^5 X+a^3 1 a^5*X+a^2 a^3 a^6*X+1 a^6*X+1 a^5*X+a^2 X+a^3 a^4*X+1 a^5*X+a^4 X+a X+a X+a^5 X X+a^5 X+a a^5*X+a^2 X+a^3 a^5*X+1 a^3*X+a^4 a^4*X+a^4 a^2*X+a^3 a^2 a^4*X+a 1 a^5*X+a^6 a^2*X+a^6 1 X+a^3 a*X a^3*X+a^6 1 a^3*X+a^3 a^5*X a a^5*X+1 1 a*X+1 a^5*X+a^4 X+a^5 a^6*X+a^4 X a^3*X+a^5 X a^5*X+a^6 a^3*X+a^6 0 a^4*X+1 X a^3*X+a^4 a^4*X+a^2 X+a^6 a^3*X+a^5 a^5 0 0 0 a^6*X 0 X X a^3*X X a^2*X a^3*X a^6*X a^2*X X a^4*X a^5*X 0 a^6*X X a^5*X a*X a*X a^4*X a^3*X X a^5*X a^6*X a*X a^6*X a^4*X a^5*X a^4*X a^4*X a^4*X 0 a^2*X 0 a^3*X a^2*X a^3*X 0 X a^3*X a^5*X a^3*X a^5*X a^6*X 0 a^6*X a^2*X X a^4*X a*X a^6*X a^2*X X a^3*X 0 a^6*X 0 a*X X a^5*X X a^4*X a^5*X X a^6*X a^2*X a^6*X 0 a^3*X a^6*X a^5*X a*X a*X 0 a^2*X a^2*X 0 0 0 0 0 X a^6*X a^5*X a^3*X a^2*X a^5*X a^6*X a^6*X a^6*X a^5*X a^3*X a^3*X a^2*X a^2*X a*X a^2*X X 0 a^4*X a*X X a*X a^4*X a^3*X a*X a^3*X X a^5*X 0 X 0 0 a^6*X a^4*X a^3*X a^3*X a^2*X a*X a^5*X a*X X a^3*X a^4*X a^4*X a^3*X a*X a*X a^4*X a*X a^3*X a^3*X a^4*X 0 X X a^6*X a^4*X a^6*X a*X a^4*X a^2*X a^6*X a^6*X 0 a^6*X a^5*X a^5*X a^2*X a*X a*X a*X a^5*X 0 0 a^2*X a^3*X X generates a code of length 80 over F8[X]/(X^2) who´s minimum homogenous weight is 528. Homogenous weight enumerator: w(x)=1x^0+147x^528+168x^531+1134x^536+2128x^537+1176x^539+7420x^544+13608x^545+3024x^547+14686x^552+27048x^553+6832x^555+36204x^560+57848x^561+11144x^563+29477x^568+42728x^569+6328x^571+301x^576+210x^584+196x^592+119x^600+112x^608+42x^616+35x^624+28x^632 The gray image is a linear code over GF(8) with n=640, k=6 and d=528. This code was found by Heurico 1.16 in 20.2 seconds.