The generator matrix

 1  0  0  0  1  1  1  X  1  1  1  1
 0  1  0  0  1  X X+1  1  0  X X^2+X  1
 0  0  1  0  1 X+1  X X^2+X+1 X+1  1 X^2+X+1  0
 0  0  0  1 X^2  1 X+1 X+1  X  X X^2+X+1  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+73x^8+250x^9+471x^10+776x^11+934x^12+780x^13+518x^14+232x^15+48x^16+10x^17+3x^18

The gray image is a linear code over GF(2) with n=48, k=12 and d=16.
This code was found by Heurico 1.11 in 0.015 seconds.