The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2+X  1  1  0  1  1 X^2  1  1  X  1  1  1  1 X^2  X  X  X  0  X  X X^2 X^2  1  1  1  1  1  1  1
 0  1 X+1 X^2+X X^2+1  1  0 X+1  1 X^2+X X^2+1  1 X^2 X^2+X+1  1  X  1  1 X^2  X X^2+X+1  1  1  1  0 X^2+X  X X^2  X  X  0  0 X^2 X+1 X+1 X^2+X  X  0
 0  0 X^2 X^2  0 X^2 X^2  0  0  0 X^2 X^2 X^2 X^2 X^2  0  0  0  0 X^2  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2  0 X^2  0 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+11x^36+58x^37+8x^38+28x^39+2x^40+10x^41+5x^42+2x^44+3x^46

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 0.0153 seconds.