The generator matrix

 1  0  0  1  1  1  X  1  0  1  1 X^2+X  1  1  1  1
 0  1  0  1  0  1  1  X  1  X X+1 X^2  0 X+1  1  0
 0  0  1  1  1  X X+1  X X+1 X^2+1  0  1 X+1 X^2+1 X^2+X+1  X
 0  0  0  X X^2  0  0 X^2+X X^2+X X^2  X X^2+X X^2+X X^2+X X^2+X  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+50x^12+174x^13+234x^14+426x^15+331x^16+372x^17+224x^18+164x^19+50x^20+14x^21+6x^22+2x^23

The gray image is a linear code over GF(2) with n=64, k=11 and d=24.
This code was found by Heurico 1.11 in -1.01e-007 seconds.