The generator matrix

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

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+112x^32+56x^33+434x^34+184x^35+667x^36+272x^37+728x^38+272x^39+640x^40+184x^41+332x^42+56x^43+88x^44+40x^46+23x^48+2x^50+5x^52

The gray image is a linear code over GF(2) with n=152, k=12 and d=64.
This code was found by Heurico 1.16 in 0.435 seconds.