The generator matrix

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

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+20x^32+90x^33+122x^34+232x^35+199x^36+346x^37+111x^38+284x^39+193x^40+248x^41+74x^42+58x^43+29x^44+18x^45+8x^46+6x^48+2x^49+4x^50+2x^51+1x^54

The gray image is a linear code over GF(2) with n=152, k=11 and d=64.
This code was found by Heurico 1.16 in 0.127 seconds.