The generator matrix

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

generates a code of length 16 over Z2[X]/(X^3) who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+10x^9+64x^10+82x^11+288x^12+498x^13+952x^14+1450x^15+1481x^16+1470x^17+976x^18+502x^19+264x^20+70x^21+56x^22+14x^23+14x^24

The gray image is a linear code over GF(2) with n=64, k=13 and d=18.
This code was found by Heurico 1.16 in 0.356 seconds.