The generator matrix

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

generates a code of length 48 over F8[X]/(X^2) who´s minimum homogenous weight is 334.

Homogenous weight enumerator: w(x)=1x^0+2688x^334+504x^336+896x^342+7x^384

The gray image is a linear code over GF(8) with n=384, k=4 and d=334.
This code was found by Heurico 1.16 in 0.013 seconds.