The generator matrix

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

generates a code of length 38 over Z2[X]/(X^3) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+52x^33+84x^34+84x^35+94x^36+136x^37+152x^38+136x^39+94x^40+52x^41+84x^42+36x^43+2x^44+16x^49+1x^64

The gray image is a linear code over GF(2) with n=152, k=10 and d=66.
This code was found by Heurico 1.16 in 2.64 seconds.