The generator matrix

 1  0  1  1  1  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  0  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  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^6*X+a^6 a^6*X+1 a^5 a^3  a a^6*X+a^4 a^3 a^6*X+a^6 a^6*X+1 X+a a^6*X+1 X+a^3  0 a^5 X+a X+a^3  1 a^3*X+a a^6*X+a^2 a^5*X+a^4  X X+a^3 a*X a^4*X+1 a^5*X+a^3 a^5*X+a^2 a^6*X+a a^2*X+1 X+a a^4*X+1 X+a^5 a^3*X+1 a^6*X+a a^5*X+a^6  1  1 a^6*X+a^3 a^4*X+a X+a^5  X a^4*X+a^4 a^2*X+a^5 a^3*X+a^4 a^5*X+a^2 X+a  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  0 a^2*X a^4*X a^3*X  0 a*X a^3*X a^5*X a*X  X  X a*X a^6*X a*X a^3*X  0 a^6*X a^6*X a^2*X a^4*X a*X a^2*X a^4*X a^2*X a*X  0 a^4*X a*X a^5*X a^2*X a*X a^5*X a^3*X a^5*X a^4*X a*X a^2*X a^6*X  X a^4*X  0  0  0 a^2*X a*X a^4*X  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^4*X  0 a^3*X a*X a^3*X a^5*X  X a^2*X  X a*X a^3*X  0 a^5*X a*X a^4*X a^6*X a^2*X a^3*X a^5*X  0 a^5*X  0 a^6*X a*X a*X  0 a^4*X  X a*X a^3*X a^3*X a^5*X a^5*X a^3*X  X  0 a^3*X a^3*X  X  0 a^6*X a^4*X  X  X  0 a^2*X a^4*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+224x^392+112x^395+336x^396+1176x^399+987x^400+1120x^401+2016x^402+1344x^403+4536x^404+3752x^407+2814x^408+5600x^409+7392x^410+4704x^411+9464x^412+6328x^415+10185x^416+21280x^417+22176x^418+11200x^419+23464x^420+10808x^423+17164x^424+29344x^425+25760x^426+11312x^427+19544x^428+6608x^431+532x^432+301x^440+224x^448+182x^456+119x^464+35x^472

The gray image is a linear code over GF(8) with n=480, k=6 and d=392.
This code was found by Heurico 1.16 in 14.7 seconds.