The generator matrix

1 0 0 0 1 1 1 0 X 1 1 1 1 X 0 0 1 1 X X 1 X 0 1 1 X 1 0 1 1 1 X 0 1 X 0 1 0
0 1 0 0 0 0 X X 1 1 1 1 X+1 1 1 X 0 1 X 1 0 0 1 X+1 X 1 X 1 X 1 X 1 0 0 1 1 X+1 1
0 0 1 0 0 1 1 1 0 1 X+1 X X X+1 1 0 X+1 1 1 X+1 X 1 1 0 X+1 1 0 X X 0 0 1 0 X X 0 X+1 1
0 0 0 1 1 X 1 X+1 1 X+1 X 0 X+1 0 1 1 0 X+1 0 X X X+1 1 X 1 X X 1 1 0 0 X 1 0 X+1 X+1 0 X+1
0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X 0 X X 0 X 0 X X 0 0 0 0

generates a code of length 38 over Z2[X]/(X^2) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+28x^33+57x^34+84x^35+68x^36+36x^37+47x^38+42x^39+32x^40+20x^41+17x^42+24x^43+18x^44+6x^45+5x^46+10x^47+7x^48+4x^49+2x^50+2x^52+2x^53

The gray image is a linear code over GF(2) with n=76, k=9 and d=33.
This code was found by Heurico 1.10 in 0.015 seconds.