The generator matrix

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

generates a code of length 8 over Z2[X]/(X^3) who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+55x^4+160x^5+598x^6+352x^7+1759x^8+352x^9+612x^10+160x^11+41x^12+6x^14

The gray image is a linear code over GF(2) with n=32, k=12 and d=8.
This code was found by Heurico 1.16 in 0.00756 seconds.