The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  0  X  X X^2  X  X X^2 X^2  0  0  0  X  X  0  1  1 X^2  1  1  1
 0  X  0  X  0  0  X  X X^2 X^2 X^2+X X^2+X X^2 X^2 X^2+X X^2+X X^2  X  X  0 X^2+X  X X^2+X X^2+X  X  X  0 X^2  X  X  X  X  0  0 X^2  X  X  0
 0  0  X  X X^2 X^2+X X^2+X X^2 X^2  X X^2+X  0  0 X^2+X  X X^2  X  X X^2  X  X  0  0 X^2  X X^2+X  X  X  0 X^2  0 X^2  0 X^2  0  X X^2+X  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+9x^36+76x^37+9x^38+8x^39+5x^40+4x^41+5x^42+1x^44+8x^45+1x^46+1x^50

The gray image is a linear code over GF(2) with n=152, k=7 and d=72.
This code was found by Heurico 1.16 in 0.0156 seconds.