The generator matrix

 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  1  1  1  1  1  1  1  1  0  1  1  1  1  1  1  X  1  1  1  1  1  X  1  1  1  1  1 a*X  1 a^5*X  1  1  1  1  1  1  1  1 a^5*X  1  1  1  1 a*X
 0  1  1  a a^6*X+a^2 a^3 a^6*X+a^4 a^5 a^6*X+a^6  0 a^6*X+1  a  X X+a  X X+a a^6*X+1 a^3*X+1 a^5*X+1 a*X+a a*X a^4*X+a a*X a^3*X+1 a^3*X a^5*X+1 a*X+a a^3*X a^4*X+a  1 a^6*X+a^2 a^3 a^6*X+a^4 a^6*X+a^6  1 a^5 a^5*X+a^2 X+a^3 a^5*X+a^4 X+a^5 a^5*X+a^6  1 a^5*X+a^2 a^5*X+a^4 X+a^5 X+a^3 a^5*X+a^6  1 a^4*X+a^2 a^2*X+a^3 a^4*X+a^4 a^2*X+a^5 a^3*X+a^6  1 X+a^2  1 a^4*X+a^6 a^3*X+a^3 a^2*X+a^5 a^4*X+a^4 a^4*X+a^2 a^3*X+a^3 a^3*X+a^5 a^3*X+a^6  1 X+a^2 a^2*X+a^3 a^3*X+a^5 a^4*X+a^6  1
 0  0 a^6*X a*X  X  0 a^3*X a^5*X a^4*X a^2*X a*X a^4*X a^6*X a^2*X  X a^5*X a^3*X a^4*X  X  0 a^3*X a^6*X a^5*X  0 a^4*X a^2*X  X a*X a^3*X a^5*X a*X a^6*X a^5*X a^2*X a*X  0 a^2*X a^4*X  X a^4*X a^6*X a^4*X a^3*X  0 a^2*X a*X a^3*X a^3*X  0 a^5*X a^6*X a*X  X a^2*X a^4*X  X a^5*X a^3*X  X  X a^6*X a^2*X a^6*X  0 a^5*X a^5*X  X a^3*X a*X a^6*X

generates a code of length 70 over F8[X]/(X^2) who´s minimum homogenous weight is 480.

Homogenous weight enumerator: w(x)=1x^0+840x^480+12544x^482+1344x^488+3584x^490+1904x^496+12544x^498+7x^512

The gray image is a linear code over GF(8) with n=560, k=5 and d=480.
This code was found by Heurico 1.16 in 9.19 seconds.