The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1
 0  X  0  0  0  0 X^2  X  X  X  X  0
 0  0  X  0  0  0 X^2+X  X X^2+X  X X^2+X  0
 0  0  0  X  0  0  X  0 X^2 X^2 X^2+X  0
 0  0  0  0  X  0  X X^2 X^2  X  0  0
 0  0  0  0  0  X  X X^2 X^2+X  0 X^2  0

generates a code of length 12 over Z2[X]/(X^3) who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+40x^6+192x^7+295x^8+192x^9+216x^10+640x^11+5040x^12+640x^13+216x^14+192x^15+295x^16+192x^17+40x^18+1x^24

The gray image is a linear code over GF(2) with n=48, k=13 and d=12.
This code was found by Heurico 1.16 in 0.161 seconds.