The generator matrix

 1  1  1  1  X X^3  X  X  1
 0  X  0 X^3+X^2+X X^2+X  X X^2 X^3+X^2+X X^3+X^2
 0  0 X^3+X^2 X^2 X^3 X^2 X^2 X^2  0

generates a code of length 9 over Z2[X]/(X^4) who´s minimum homogenous weight is 7.

Homogenous weight enumerator: w(x)=1x^0+48x^7+121x^8+196x^9+88x^10+40x^11+14x^12+4x^13

The gray image is a linear code over GF(2) with n=72, k=9 and d=28.
This code was found by Heurico 1.16 in 6.87e-008 seconds.