The generator matrix

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

generates a code of length 16 over Z2[X]/(X^3) who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+104x^13+116x^14+234x^15+163x^16+208x^17+88x^18+68x^19+12x^20+24x^21+4x^22+2x^23

The gray image is a linear code over GF(2) with n=64, k=10 and d=26.
This code was found by Heurico 1.11 in -6.48e-008 seconds.