The generator matrix

 1  1  1  1  1  1  1  1  X  X  1  1
 0  X  0  0  0  X X^2+X  X X^2 X^2  0  0
 0  0  X  0  X  X X^2+X  0  0  0 X^2+X  X
 0  0  0  X  X  0 X^2+X  X  X  X X^2+X  X
 0  0  0  0 X^2  0  0  0  0 X^2 X^2 X^2
 0  0  0  0  0 X^2  0  0 X^2  0 X^2 X^2
 0  0  0  0  0  0 X^2  0 X^2  0 X^2  0
 0  0  0  0  0  0  0 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 6.

Homogenous weight enumerator: w(x)=1x^0+79x^6+348x^8+1450x^10+4426x^12+1472x^14+339x^16+70x^18+6x^20+1x^22

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 1.08 seconds.