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

generates a code of length 47 over F8[X]/(X^2) who´s minimum homogenous weight is 288.

Homogenous weight enumerator: w(x)=1x^0+448x^288+1778x^296+2555x^304+3493x^312+3584x^315+4179x^320+50176x^323+5082x^328+175616x^331+5439x^336+4725x^344+3290x^352+1358x^360+392x^368+28x^376

The gray image is a linear code over GF(8) with n=376, k=6 and d=288.
This code was found by Heurico 1.16 in 27.9 seconds.