The generator matrix

 1  1  1  1  1  1  1  1  X  1  1  1
 0 X^2  0  0  0  0  0  0  0 X^2  0 X^2
 0  0 X^2  0  0  0  0  0  0 X^2 X^2 X^2
 0  0  0 X^2  0  0  0  0 X^2  0 X^2  0
 0  0  0  0 X^2  0  0  0 X^2  0  0 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 X^2 X^2  0
 0  0  0  0  0  0  0 X^2 X^2 X^2  0  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+17x^6+38x^8+44x^10+128x^11+564x^12+128x^13+54x^14+33x^16+12x^18+4x^20+1x^22

The gray image is a linear code over GF(2) with n=48, k=10 and d=12.
This code was found by Heurico 1.16 in 0.00273 seconds.