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  2  2  1  1  1  1  1  1  1  1  1  1
 0  1  1  a 3a^2+2 2a^2+3a+1 a^2+3a a^2+3a+3 3a^2+2a+3  a 3a^2+2 a^2+3a  1  0 3a^2+2a+3 2a^2+3 a^2+3a+3 2a^2+3a+1  a a^2+3a 2a^2+3a+1 3a^2+2a+3 2a^2+3 a+2 2a^2+3 2a^2+3a+3  0 a^2+3a+3 a+2 2a^2+3a+3  1 3a+2 3a^2+2 a^2+a  2 2a^2+3a+3 2a 2a^2+2a+1 a+3 3a^2+2a+2 2a^2+a+2 2a^2+1 a+2 2a^2+2a+1 a^2+3a+1 2a+3 2a^2+a+2 3a^2+3  1  1 3a+3 2a^2+3a a^2+3a+1  2 a^2+a+2 3a^2+3a+3 3a^2+a 3a^2+2a+2 a+2  0
 0  0 2a^2+2  0  2  2 2a+2  2 2a^2 2a+2 2a^2+2 2a^2  2  0 2a^2 2a^2+2a 2a+2  0 2a 2a+2 2a^2+2a+2 2a  2  2 2a 2a^2+2 2a 2a+2  0 2a^2+2 2a^2+2 2a^2 2a^2+2a 2a 2a^2 2a^2+2a 2a^2 2a  0 2a^2+2a 2a 2a^2+2a+2 2a^2 2a 2a^2+2a+2 2a+2 2a^2+2a+2 2a^2+2a 2a 2a^2 2a^2+2  2 2a^2+2a  0  0  0 2a^2 2a 2a^2+2a  2
 0  0  0  2 2a^2+2 2a^2+2a+2 2a+2 2a^2 2a^2+2a+2 2a^2+2 2a^2+2 2a^2+2 2a^2+2a+2 2a^2+2a  0 2a+2 2a 2a+2 2a^2+2a+2  2 2a^2  2 2a 2a+2  0 2a^2+2a+2 2a 2a^2+2a 2a^2+2 2a^2 2a+2 2a^2+2a+2  0 2a^2+2a+2  0 2a^2+2 2a 2a  0 2a^2+2a  2 2a 2a+2 2a+2 2a^2+2a+2 2a^2+2a+2 2a+2  2  0 2a+2 2a+2  2  0 2a^2+2 2a^2+2a  2  2  0 2a^2 2a^2+2a

generates a code of length 60 over GR(64,4) 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 code over GF(8) with n=480, k=6 and d=392.
This code was found by Heurico 1.16 in 14.7 seconds.