The generator matrix

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

generates a code of length 16 over Z2[X]/(X^3) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+90x^12+96x^13+264x^14+416x^15+331x^16+416x^17+240x^18+96x^19+86x^20+8x^22+4x^24

The gray image is a linear code over GF(2) with n=64, k=11 and d=24.
This code was found by Heurico 1.16 in 0.0376 seconds.