The generator matrix

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

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+64x^12+184x^13+236x^14+410x^15+281x^16+376x^17+268x^18+164x^19+36x^20+16x^21+8x^22+2x^23+2x^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 0.026 seconds.