The generator matrix

 1  0  0  1  1  1  X  1  1 X^2+X  1  1
 0  1  0  1 X^2+X X^2+X+1  1 X^2 X^2+1  1 X^2+X+1  1
 0  0  1  1 X^2+X+1 X^2+X  1  X X+1 X+1  1  1
 0  0  0 X^2  0  0 X^2  0  0 X^2  0 X^2
 0  0  0  0 X^2  0 X^2 X^2  0 X^2 X^2 X^2
 0  0  0  0  0 X^2 X^2 X^2 X^2  0  0  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+118x^8+128x^9+568x^10+640x^11+1200x^12+640x^13+544x^14+128x^15+121x^16+8x^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 1.16 in 0.0391 seconds.