The generator matrix

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

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+126x^32+12x^33+220x^34+88x^35+339x^36+172x^37+284x^38+144x^39+226x^40+68x^41+178x^42+24x^43+88x^44+4x^45+48x^46+19x^48+6x^50+1x^52

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 0.165 seconds.