The generator matrix

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

generates a code of length 38 over Z2[X]/(X^3) who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+72x^35+122x^36+48x^37+32x^38+96x^39+93x^40+16x^41+24x^43+2x^44+1x^48+4x^52+1x^56

The gray image is a linear code over GF(2) with n=152, k=9 and d=70.
This code was found by Heurico 1.16 in 0.0346 seconds.