The generator matrix

 1  0  1  1  1 X^2+X  1  1  1  X  1  1
 0  1  1 X^2+X X+1  1 X^2+X+1 X^2+1 X^2+X+1 X^2 X^2+1  0
 0  0  X  0  0 X^2 X^2+X X^2  X  X  0  0
 0  0  0 X^2  0 X^2 X^2  0  0 X^2  0  0
 0  0  0  0 X^2  0  0 X^2 X^2  0 X^2  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+24x^8+78x^9+111x^10+236x^11+116x^12+256x^13+107x^14+68x^15+19x^16+2x^17+5x^18+1x^22

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 0.00447 seconds.