The generator matrix

 1  1  1  1  1  1  1  1  1
 0  X X^3+X^2 X^2+X X^3 X^3+X^2+X X^2 X^3+X  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+7x^8+112x^9+7x^10+1x^18

The gray image is a linear code over GF(2) with n=72, k=7 and d=32.
As d=34 is an upper bound for linear (72,7,2)-codes, this code is optimal over Z2[X]/(X^4) for dimension 7.
This code was found by Heurico 1.16 in -3.24e-008 seconds.