The generator matrix

 1  1  1  1  1  1  1  1  1  X  X  1
 0  X  0  X  0  0  X X^2+X X^2 X^2  X X^2+X
 0  0  X  X  0 X^2+X  X X^2  0  X  X  0
 0  0  0 X^2  0  0 X^2  0  0 X^2  0 X^2
 0  0  0  0 X^2  0  0  0 X^2 X^2 X^2  0
 0  0  0  0  0 X^2 X^2 X^2 X^2  0 X^2 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+54x^8+160x^10+128x^11+340x^12+128x^13+160x^14+49x^16+4x^20

The gray image is a linear code over GF(2) with n=48, k=10 and d=16.
This code was found by Heurico 1.16 in 0.005 seconds.