The generator matrix

 1  0  1  1  1  0  1 X^2+X  1  1  1 X^2+X  1  1  1 X^2  0  1  1  1  X  1  1  X  1  X X^2+X  1  1  1 X^2  1  1  1  1 X^2+X  1  1
 0  1  1  0 X^2+X+1  1  X  1 X^2+X+1  1 X^2  1  X X+1  0  1  1 X+1 X^2+1 X^2+X+1  1 X^2+X X^2+X+1  1 X^2+X  1  1 X^2 X^2+1  0  1 X^2+1  X  X  0  1 X^2+X X+1
 0  0  X  0 X^2+X  X  0  X  0 X^2  X  0 X^2+X  0 X^2+X X^2 X^2+X X^2+X X^2+X X^2 X^2  0  X X^2  X  X X^2+X  0  0  X X^2  0 X^2 X^2  X  X  0 X^2
 0  0  0  X  0  X  X  X X^2+X X^2+X X^2 X^2 X^2  0  X X^2+X  0  X X^2+X  0  X X^2 X^2 X^2 X^2+X X^2  0  0 X^2+X  X  X  0  0  X X^2+X X^2+X X^2+X  X
 0  0  0  0 X^2 X^2 X^2  0 X^2  0 X^2 X^2  0 X^2 X^2 X^2  0  0 X^2  0 X^2 X^2  0  0 X^2 X^2  0 X^2 X^2  0  0  0 X^2  0  0  0 X^2 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+98x^33+93x^34+342x^35+118x^36+346x^37+113x^38+346x^39+94x^40+306x^41+71x^42+70x^43+8x^44+14x^45+11x^46+6x^47+1x^48+4x^49+4x^51+2x^52

The gray image is a linear code over GF(2) with n=152, k=11 and d=66.
This code was found by Heurico 1.16 in 0.133 seconds.