The generator matrix

 1  0  0  0  1  1  1  1  X  X  1  0
 0  1  0  0  0 X^2  1 X+1  1  X X+1  1
 0  0  1  0  1  X  1 X^2+1  0  1 X^2+X X+1
 0  0  0  1  1 X+1  X X+1 X^2+X+1 X+1 X^2+1 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+198x^8+448x^9+760x^10+1888x^11+1616x^12+1824x^13+864x^14+416x^15+137x^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 1.11 in 0.079 seconds.