The generator matrix

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

generates a code of length 8 over Z2[X]/(X^4) who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+24x^6+128x^7+206x^8+128x^9+24x^10+1x^16

The gray image is a linear code over GF(2) with n=64, k=9 and d=24.
This code was found by Heurico 1.16 in -3.24e-008 seconds.