The generator matrix

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

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+51x^8+150x^9+185x^10+492x^11+302x^12+488x^13+174x^14+148x^15+46x^16+2x^17+9x^18

The gray image is a linear code over GF(2) with n=48, k=11 and d=16.
This code was found by Heurico 1.16 in 0.0142 seconds.