The generator matrix

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

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+47x^6+258x^7+418x^8+252x^9+41x^10+2x^11+5x^12

The gray image is a linear code over GF(2) with n=64, k=10 and d=24.
This code was found by Heurico 1.16 in 0.047 seconds.