The generator matrix

 1  0  1  1  1 X^2  1  1  0  1  X  1
 0  1  1  0  1  1 X+1 X^2  1 X+1  0 X^2+X+1
 0  0  X  0  0  0  0 X^2  X X^2+X X^2 X^2+X
 0  0  0  X  0  X  X X^2 X^2  0 X^2+X  0
 0  0  0  0  X X^2  X  X  X X^2+X  X 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+153x^8+132x^9+594x^10+592x^11+1053x^12+728x^13+636x^14+80x^15+102x^16+4x^17+18x^18+3x^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 0.0795 seconds.