The generator matrix

 1  0  0  1  1  1  0  X  1  1 X^2+X  1 X^2+X  1  X X^2+X  1  1  1 X^2+X  1  1  1 X^2+X  X  1  X  1  X  1 X^2 X^2  0  X X^2  0  1  1
 0  1  0  0  1  1  1  X X^2+1  X  1  X  1 X+1  1  1 X^2+1 X^2+X X+1 X^2 X+1 X^2  0  1 X^2  X  1 X+1  X X^2+1  1  1 X^2+X  1  X  1 X+1  0
 0  0  1  1  0 X^2+1  1  1  0 X+1 X^2  X X^2+1  1 X^2+X+1  X X+1 X^2+X  1  1  0 X+1 X^2+X+1  X  1 X^2  1 X^2  1 X^2+X  1  X  1 X^2  1 X^2  X  0
 0  0  0  X X^2  X  X  X X^2+X  0  X X^2+X X^2  0 X^2+X  0  X  0 X^2 X^2+X X^2+X X^2 X^2+X  X X^2  X  0 X^2 X^2 X^2 X^2  X  X X^2  0  X  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+28x^33+167x^34+278x^35+268x^36+276x^37+232x^38+196x^39+180x^40+128x^41+107x^42+82x^43+52x^44+32x^45+14x^46+4x^47+3x^48

The gray image is a linear code over GF(2) with n=152, k=11 and d=66.
This code was found by Heurico 1.11 in 0.047 seconds.