The generator matrix

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

generates a code of length 60 over F8[X]/(X^2) who´s minimum homogenous weight is 392.

Homogenous weight enumerator: w(x)=1x^0+301x^392+721x^400+700x^408+588x^416+28672x^420+420x^424+483x^432+329x^440+224x^448+161x^456+112x^464+49x^472+7x^480

The gray image is a linear code over GF(8) with n=480, k=5 and d=392.
This code was found by Heurico 1.16 in 0.629 seconds.