The generator matrix

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

generates a code of length 38 over Z2[X]/(X^3) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+300x^32+164x^33+768x^34+380x^35+1314x^36+488x^37+1464x^38+488x^39+1262x^40+356x^41+712x^42+156x^43+244x^44+16x^45+56x^46+13x^48+8x^50+2x^52

The gray image is a linear code over GF(2) with n=152, k=13 and d=64.
This code was found by Heurico 1.16 in 3.25 seconds.