The generator matrix

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

generates a code of length 19 over Z2[X]/(X^3) who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+17x^16+76x^17+13x^18+48x^19+14x^20+60x^21+18x^22+8x^23+1x^34

The gray image is a linear code over GF(2) with n=76, k=8 and d=32.
This code was found by Heurico 1.16 in 0.142 seconds.