The generator matrix

 1  1  1  1  1  1  1  1  1
 0  X  0  X a*X a*X a^5*X a^5*X a^6*X
 0  0  X a^6*X a^2*X a^4*X  X a^2*X a^6*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+252x^56+3584x^63+63x^64+196x^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 0.000642 seconds.