The generator matrix

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

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+226x^6+848x^7+3685x^8+6880x^9+3664x^10+848x^11+226x^12+6x^14

The gray image is a linear code over GF(2) with n=72, k=14 and d=24.
This code was found by Heurico 1.16 in 2.39 seconds.