The generator matrix

 1  0  0  0  0  1  1  1
 0  1  0  0  0  0  1  X
 0  0  1  0  0  0  1 X+1
 0  0  0  1  0  1  0  1
 0  0  0  0  1  1  0  X
 0  0  0  0  0  X  X  0

generates a code of length 8 over Z2[X]/(X^2) who´s minimum homogenous weight is 3.

Homogenous weight enumerator: w(x)=1x^0+16x^3+68x^4+144x^5+224x^6+352x^7+438x^8+352x^9+224x^10+144x^11+68x^12+16x^13+1x^16

The gray image is a linear code over GF(2) with n=16, k=11 and d=3.
This code was found by Heurico 1.16 in 0.00679 seconds.