The generator matrix

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

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+98x^12+96x^13+316x^14+288x^15+475x^16+288x^17+280x^18+96x^19+94x^20+12x^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 0.0287 seconds.