The generator matrix

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

generates a code of length 38 over Z2[X]/(X^3) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+54x^36+148x^38+48x^40+4x^42+1x^72

The gray image is a linear code over GF(2) with n=152, k=8 and d=72.
This code was found by Heurico 1.16 in 0.0232 seconds.