The generator matrix

 1  0  1  1  1  1  1  1
 0  1 a^7*X+1  a a^7*X+a^2 a^3 a^7*X+2 a^5

generates a code of length 8 over F9[X]/(X^2) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+576x^56+64x^63+1296x^64+4608x^65+16x^72

The gray image is a linear code over GF(9) with n=72, k=4 and d=56.
This code was found by Heurico 1.16 in 0.000455 seconds.