The generator matrix

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

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+222x^33+317x^34+440x^35+433x^36+508x^37+378x^38+536x^39+364x^40+360x^41+223x^42+176x^43+45x^44+60x^45+20x^46+5x^48+2x^49+6x^50

The gray image is a linear code over GF(2) with n=152, k=12 and d=66.
This code was found by Heurico 1.16 in 0.372 seconds.