The generator matrix

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

generates a code of length 12 over Z2[X]/(X^3) who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+6x^10+18x^11+7x^12+28x^13+1x^14+2x^15+1x^18

The gray image is a linear code over GF(2) with n=48, k=6 and d=20.
This code was found by Heurico 1.16 in 0.0005 seconds.