The generator matrix

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

generates a code of length 9 over Z2[X]/(X^4) who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+52x^6+78x^8+768x^9+72x^10+48x^12+4x^14+1x^16

The gray image is a linear code over GF(2) with n=72, k=10 and d=24.
This code was found by Heurico 1.16 in 0.016 seconds.