The generator matrix

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

generates a code of length 33 over Z2[X]/(X^2) who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+75x^26+106x^27+121x^28+148x^29+145x^30+184x^31+188x^32+178x^33+160x^34+164x^35+143x^36+146x^37+115x^38+56x^39+47x^40+38x^41+16x^42+2x^43+12x^44+2x^45+1x^50

The gray image is a linear code over GF(2) with n=66, k=11 and d=26.
This code was found by Heurico 1.16 in 0.249 seconds.