The generator matrix

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

generates a code of length 48 over F8[X]/(X^2) who´s minimum homogenous weight is 325.

Homogenous weight enumerator: w(x)=1x^0+3920x^325+840x^326+1176x^327+161x^328+7840x^333+1008x^334+784x^335+245x^336+13328x^341+1736x^342+1624x^343+84x^344+7x^376+14x^384

The gray image is a linear code over GF(8) with n=384, k=5 and d=325.
This code was found by Heurico 1.16 in 0.168 seconds.