The generator matrix

 1  0  0  1  1  1  X  1  1  1  1  1
 0  1  0  1 X^2+X X^2+X+1  1 X^2 X+1 X^2+X+1 X^2+X X^2
 0  0  1  1 X^2+X+1  X  1  X  0  1 X+1 X^2
 0  0  0 X^2  0  0 X^2  0 X^2  0 X^2  0
 0  0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2  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+42x^8+104x^9+234x^10+348x^11+600x^12+340x^13+236x^14+100x^15+29x^16+4x^17+10x^18

The gray image is a linear code over GF(2) with n=48, k=11 and d=16.
This code was found by Heurico 1.16 in 0.0124 seconds.