The generator matrix

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

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+103x^8+168x^9+488x^10+856x^11+871x^12+856x^13+480x^14+168x^15+96x^16+8x^18+1x^20

The gray image is a linear code over GF(2) with n=48, k=12 and d=16.
This code was found by Heurico 1.16 in 0.0493 seconds.