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

generates a code of length 48 over F8[X]/(X^2) who´s minimum homogenous weight is 296.

Homogenous weight enumerator: w(x)=1x^0+609x^296+2030x^304+2737x^312+448x^315+3395x^320+9408x^323+4340x^328+65856x^331+4935x^336+153664x^339+5432x^344+4809x^352+2723x^360+1463x^368+287x^376+7x^384

The gray image is a linear code over GF(8) with n=384, k=6 and d=296.
This code was found by Heurico 1.16 in 28.5 seconds.