The generator matrix

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

generates a code of length 12 over Z2[X]/(X^3) who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+54x^8+152x^9+170x^10+496x^11+314x^12+480x^13+180x^14+144x^15+45x^16+8x^17+2x^18+2x^20

The gray image is a linear code over GF(2) with n=48, k=11 and d=16.
This code was found by Heurico 1.11 in 0.015 seconds.