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

generates a code of length 47 over F8[X]/(X^2) who´s minimum homogenous weight is 318.

Homogenous weight enumerator: w(x)=1x^0+4480x^318+1323x^320+8960x^326+994x^328+15232x^334+1757x^336+7x^368+14x^376

The gray image is a linear code over GF(8) with n=376, k=5 and d=318.
This code was found by Heurico 1.16 in 0.164 seconds.