The generator matrix

 1  1  1  1  1  1  X  1
 0 X^3  0  0  0  0 X^3  0
 0  0 X^3  0  0  0 X^3  0
 0  0  0 X^3  0  0 X^3  0
 0  0  0  0 X^3  0 X^3  0
 0  0  0  0  0 X^3 X^3  0

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

Homogenous weight enumerator: w(x)=1x^0+15x^4+6x^6+32x^7+399x^8+32x^9+20x^10+1x^12+6x^14

The gray image is a linear code over GF(2) with n=64, k=9 and d=16.
This code was found by Heurico 1.16 in -1.01e-007 seconds.