The generator matrix

 1  0  0  1  1  1  0  1  1 X^2  0  X  1  1  X  1  1 X^2+X  1  1 X^2+X  1  1 X^2+X X^2+X  1  1  1 X^2+X  1  1  1  0  1  0  1  1  1
 0  1  0  0  1  1  1 X^2  0  X  1  1 X+1  X  1 X+1  1  0  X X^2+1  1  1 X^2+X  1  1  X  1  1 X^2 X+1  X X^2+1  1 X+1  X  0 X^2+X X^2+1
 0  0  1 X+1 X^2+X+1  0 X+1  X X^2+1  1 X^2+X  1 X+1 X^2+1 X^2+X X^2  X  1 X^2+X+1 X^2+1 X^2+X+1 X^2+X+1  0 X^2  0  X  0 X^2+1  1  1 X^2+X  0 X^2+X+1 X^2+X+1  1  0 X^2+X+1  1
 0  0  0 X^2  0  0  0  0 X^2  0  0  0  0 X^2  0  0  0  0 X^2  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2  0 X^2 X^2
 0  0  0  0 X^2  0  0  0  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2  0  0  0 X^2 X^2 X^2 X^2 X^2  0 X^2  0  0  0 X^2  0  0 X^2 X^2 X^2  0
 0  0  0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2 X^2  0  0  0  0  0  0  0  0 X^2 X^2  0  0  0 X^2 X^2 X^2  0 X^2 X^2  0
 0  0  0  0  0  0 X^2  0  0  0  0 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0  0 X^2 X^2 X^2  0  0 X^2  0 X^2  0 X^2 X^2 X^2 X^2  0 X^2 X^2  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+283x^32+232x^33+654x^34+528x^35+1085x^36+776x^37+1162x^38+800x^39+1014x^40+504x^41+634x^42+208x^43+216x^44+24x^45+38x^46+22x^48+8x^50+3x^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 2.16 seconds.