The generator matrix

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

generates a code of length 58 over F8[X]/(X^2) who´s minimum homogenous weight is 396.

Homogenous weight enumerator: w(x)=1x^0+5880x^396+3136x^398+238x^400+7056x^404+896x^406+168x^408+12152x^412+3136x^414+91x^416+14x^448

The gray image is a linear code over GF(8) with n=464, k=5 and d=396.
This code was found by Heurico 1.16 in 19.8 seconds.