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

generates a code of length 66 over F8[X]/(X^2) who´s minimum homogenous weight is 432.

Homogenous weight enumerator: w(x)=1x^0+105x^432+1288x^439+819x^440+1288x^441+1064x^443+3360x^444+8008x^447+665x^448+3472x^449+5768x^451+10080x^452+16632x^455+637x^456+6496x^457+21112x^459+34272x^460+34328x^463+483x^464+10864x^465+29400x^467+38304x^468+25760x^471+329x^472+6552x^473+343x^480+329x^488+168x^496+112x^504+91x^512+14x^520

The gray image is a linear code over GF(8) with n=528, k=6 and d=432.
This code was found by Heurico 1.16 in 16.1 seconds.