The generator matrix

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

generates a code of length 61 over F8[X]/(X^2) who´s minimum homogenous weight is 400.

Homogenous weight enumerator: w(x)=1x^0+322x^400+56x^401+56x^402+392x^403+448x^404+1932x^408+1904x^409+3416x^410+4424x^411+2520x^412+6230x^416+7392x^417+8232x^418+9464x^419+5880x^420+21875x^424+22288x^425+23240x^426+23576x^427+11144x^428+29820x^432+25704x^433+22400x^434+19488x^435+8680x^436+490x^440+259x^448+210x^456+126x^464+126x^472+42x^480+7x^488

The gray image is a linear code over GF(8) with n=488, k=6 and d=400.
This code was found by Heurico 1.16 in 14.8 seconds.