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.