The generator matrix

 1  0  1  1  1  1  1  1  1
 0  1 a^6*X+1  a a^6*X+a^2 a^3 a^6*X+a^4 a^5  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+399x^56+112x^57+448x^63+2793x^64+336x^65+7x^72

The gray image is a linear code over GF(8) with n=72, k=4 and d=56.
This code was found by Heurico 1.16 in 0.000529 seconds.