The generator matrix

 1  0  1  1  1  0  0  1
 0  1  1  0 X+1  1  1  0
 0  0  X X^2+X  0  0 X^2  0
 0  0  0 X^2  0 X^2 X^2  0
 0  0  0  0 X^2 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+10x^4+60x^5+80x^6+196x^7+330x^8+196x^9+80x^10+60x^11+10x^12+1x^16

The gray image is a linear code over GF(2) with n=32, k=10 and d=8.
This code was found by Heurico 1.16 in 0.00103 seconds.