The generator matrix
1 0 1 1 1 X^2+X 1 1 0 1 1 0 1 1 X 1
0 1 X+1 X^2+X 1 1 0 X+1 1 0 X+1 1 X^2+X X^2 0 0
0 0 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 0 0 0
0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 0 0
0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 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+20x^12+40x^13+31x^14+152x^15+27x^16+152x^17+28x^18+40x^19+16x^20+4x^22+1x^30
The gray image is a linear code over GF(2) with n=64, k=9 and d=24.
This code was found by Heurico 1.16 in 0.00308 seconds.