The generator matrix

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

generates a code of length 9 over Z2[X]/(X^4) who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+3x^8+54x^9+4x^10+2x^13

The gray image is a linear code over GF(2) with n=72, k=6 and d=32.
As d=35 is an upper bound for linear (72,6,2)-codes, this code is optimal over Z2[X]/(X^4) for dimension 6.
This code was found by Heurico 1.16 in 1.05e-007 seconds.