The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  X  X  1  1
 0 X^2  0  0  0  0  0  0 X^2  0 X^2 X^2  0 X^2  0 X^2
 0  0 X^2  0  0  0  0  0 X^2 X^2 X^2  0 X^2 X^2  0  0
 0  0  0 X^2  0  0  0 X^2  0 X^2  0 X^2 X^2 X^2  0  0
 0  0  0  0 X^2  0  0 X^2  0  0 X^2 X^2 X^2  0  0 X^2
 0  0  0  0  0 X^2  0 X^2 X^2  0 X^2  0  0 X^2 X^2  0
 0  0  0  0  0  0 X^2 X^2 X^2  0  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+45x^12+32x^14+361x^16+32x^18+34x^20+6x^24+1x^28

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 0.00427 seconds.