The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 X^2 X^2  1  1  X  1  1  0  X  1  1  X  1  1  0  1  0  0  X
 0  X  0  0  0  X X^2+X  X X^2 X^2  X  0  0  X  X X^2+X  0  0 X^2+X  X  X X^2  X  X  0  X X^2 X^2 X^2  0  0 X^2+X  X  X X^2  X  X  X
 0  0  X  0  X  X  X  0 X^2  0 X^2+X  X X^2+X  0 X^2+X  0 X^2 X^2+X X^2 X^2 X^2+X  X  X  0  0  X  0 X^2+X  0  X X^2  X X^2+X X^2  0  X X^2+X X^2+X
 0  0  0  X  X  0  X X^2+X  0  X X^2  X X^2 X^2+X  X  0 X^2  X  X X^2+X  0 X^2 X^2+X X^2+X X^2+X X^2  X X^2+X  X X^2+X  X X^2  X X^2  0  X X^2+X X^2
 0  0  0  0 X^2  0  0  0 X^2 X^2 X^2 X^2  0 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0  0 X^2 X^2  0  0  0 X^2 X^2
 0  0  0  0  0 X^2  0 X^2  0  0  0 X^2 X^2  0 X^2  0 X^2 X^2  0  0 X^2  0 X^2 X^2 X^2  0 X^2 X^2  0  0 X^2 X^2  0  0 X^2  0 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+118x^32+12x^33+216x^34+68x^35+333x^36+168x^37+302x^38+184x^39+236x^40+76x^41+172x^42+4x^43+97x^44+46x^46+12x^48+2x^52+1x^56

The gray image is a linear code over GF(2) with n=152, k=11 and d=64.
This code was found by Heurico 1.16 in 0.172 seconds.