The generator matrix

 1  0  0  0  1  1  1  1 X^2+X  X  1 X^2
 0  1  0  0  0 X^2 X^2+1 X^2+X+1  1  X X+1  1
 0  0  1  0  1  X  1 X^2+1  0  1 X^2+X  1
 0  0  0  1  1 X+1  X X^2+X+1 X+1 X+1  1 X^2+X+1
 0  0  0  0 X^2  0  0 X^2 X^2  0  0 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+186x^8+416x^9+936x^10+1664x^11+1800x^12+1600x^13+1040x^14+384x^15+125x^16+32x^17+8x^18

The gray image is a linear code over GF(2) with n=48, k=13 and d=16.
This code was found by Heurico 1.16 in 0.179 seconds.