The generator matrix

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

generates a code of length 9 over F8[X]/(X^2) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+4284x^56+28287x^64+196x^72

The gray image is a linear code over GF(8) with n=72, k=5 and d=56.
This code was found by Heurico 1.16 in 0.00826 seconds.