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 1 1 1 1 1 1 1 1 1 1 1 X 1 1 X 1 1 1 1 X 1 1 1 1 1 0 1 1 a^3*X 1 1 1 1 1 X 1 1 1 1 1 1 a*X 1 1 1 1 1 X 1 1 1 1 X 1 1 1 1 1 1 X 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 a^5*X+a^2 a^6*X+1 a^5*X+a^2 a^3 X+a^3 a^3*X+a^3 X a^5*X+a^2 X a^6*X+1 X+a X+a^3 a^5*X+a^6 a^5*X+a^4 X+a^5 a*X X+a X+a^5 a^4*X+a^4 1 a^5*X+1 a^5*X+a^6 1 a^2*X+a a^2*X+a^4 a^5*X+a^6 a^4*X+a^2 1 X+a^5 a^4 a^4*X+1 a^4*X a^2*X+a 1 0 a^3*X+1 1 a^6*X+a^4 a^5*X+a^3 a^5*X+a^5 a^3*X+a^6 a^2*X+a^2 1 X a*X+a^4 a^5 a^4*X+a^6 X+a^2 a*X+a^6 1 a*X+a a^5*X+a^6 a^2 a^3*X+a^3 a^2*X+a a^6*X a^5*X a^5*X+1 a^2*X+1 X a*X a^5*X+a a*X+a^5 1 a*X+a^4 X+a^2 1 1 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^5*X a^5*X a^6*X a^4*X X a^4*X a^5*X a^3*X a^3*X 0 a^4*X X a^4*X a^4*X a^2*X 0 a*X a^5*X a^3*X 0 0 a*X X 0 X a*X a^6*X a^4*X 0 X a^5*X 0 a^4*X a*X a^2*X a*X X a^3*X a^5*X a^2*X a*X a*X 0 a^6*X a^2*X 0 a^2*X a*X a^5*X 0 a^3*X a^4*X a^3*X X a*X X a^3*X a^6*X a^4*X a^6*X a*X a^4*X a^5*X a^6*X a^6*X X 0 a^5*X 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^6*X X a*X a^3*X a*X X a^4*X a^4*X a^3*X X a^4*X a^6*X a^5*X X a^2*X a^3*X a^5*X a^3*X a^4*X a^6*X 0 0 0 a^3*X a^2*X a*X a^4*X a^3*X a^5*X a^6*X 0 a^2*X a^5*X a^5*X 0 a^6*X a*X a^5*X a*X 0 X a^5*X a*X a^2*X a^2*X a^3*X a^6*X a^6*X 0 a^3*X a^3*X X a^5*X a^4*X a^6*X a^6*X a^4*X X a*X a*X a^5*X a^3*X a^5*X a^6*X a^4*X a*X a^5*X a^3*X generates a code of length 94 over F8[X]/(X^2) who´s minimum homogenous weight is 630. Homogenous weight enumerator: w(x)=1x^0+280x^630+1120x^631+441x^632+2688x^637+5264x^638+8288x^639+721x^640+6720x^645+11032x^646+16576x^647+805x^648+12992x^653+21224x^654+29120x^655+686x^656+21952x^661+31024x^662+39648x^663+609x^664+12992x^669+17192x^670+19936x^671+308x^672+105x^680+49x^688+28x^696+70x^704+49x^712+91x^720+56x^728+42x^736+35x^744 The gray image is a linear code over GF(8) with n=752, k=6 and d=630. This code was found by Heurico 1.16 in 36.8 seconds.