The generator matrix

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

generates a code of length 19 over Z2[X]/(X^3) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+3x^18+22x^19+3x^20+2x^23+1x^30

The gray image is a linear code over GF(2) with n=76, k=5 and d=36.
This code was found by Heurico 1.16 in 0.00129 seconds.