The generator matrix

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

generates a code of length 48 over F8[X]/(X^2) who´s minimum homogenous weight is 319.

Homogenous weight enumerator: w(x)=1x^0+3136x^319+4186x^320+280x^322+672x^323+1624x^324+4200x^325+7056x^326+20552x^327+10822x^328+896x^329+3920x^330+4032x^331+5712x^332+9520x^333+10080x^334+31024x^335+16695x^336+6272x^337+13720x^338+9632x^339+10584x^340+14952x^341+15120x^342+38472x^343+18872x^344+35x^352+28x^360+35x^368+14x^376

The gray image is a linear code over GF(8) with n=384, k=6 and d=319.
This code was found by Heurico 1.16 in 9.24 seconds.