The generator matrix

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

generates a code of length 38 over Z2[X]/(X^3) who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+21x^34+104x^35+31x^36+108x^37+30x^38+76x^39+25x^40+76x^41+9x^42+12x^43+6x^44+8x^45+4x^46+1x^68

The gray image is a linear code over GF(2) with n=152, k=9 and d=68.
This code was found by Heurico 1.16 in 0.0232 seconds.