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

generates a code of length 58 over F8[X]/(X^2) who´s minimum homogenous weight is 360.

Homogenous weight enumerator: w(x)=1x^0+203x^360+1442x^368+2219x^376+2989x^384+448x^385+3661x^392+9408x^393+4263x^400+65856x^401+4396x^408+153664x^409+4683x^416+4179x^424+2835x^432+1393x^440+427x^448+77x^456

The gray image is a linear code over GF(8) with n=464, k=6 and d=360.
This code was found by Heurico 1.16 in 36 seconds.