The generator matrix

 1  0  0  1  1  1  0  1  1  1  1  0  X  1  0  1  0  1  X  1  X  1  1  1  0  X  X  1  1  X  1  1  1
 0  1  0  1  0  1  1  0  X  1 X+1  1  1  0  0  X  0 X+1  1 X+1  1  X  0 X+1  1  1  X  0 X+1  0  X  X  X
 0  0  1  1  1  0  1  0  1 X+1  X  0  1  X  1 X+1  1 X+1  X  1  X  0  0  1 X+1  1  1 X+1  0  1  0  1 X+1
 0  0  0  X  0  0  0  0  0  X  0  0  0  0  X  0  X  X  X  0  X  0  0  X  X  0  0  X  X  X  0  0  X
 0  0  0  0  X  0  0  0  X  0  0  0  0  0  0  X  X  X  X  0  0  X  X  0  X  0  X  X  X  0  X  0  0
 0  0  0  0  0  X  0  0  0  0  X  0  0  0  X  0  X  0  X  X  X  X  X  X  0  X  X  0  X  0  0  0  X
 0  0  0  0  0  0  X  0  0  0  0  X  0  X  X  X  0  X  X  X  X  0  X  0  0  X  0  0  0  X  X  0  0
 0  0  0  0  0  0  0  X  X  X  X  X  X  0  X  X  0  X  X  0  X  X  X  0  0  0  X  X  0  0  0  X  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+115x^26+258x^28+311x^30+345x^32+364x^34+330x^36+188x^38+78x^40+41x^42+12x^44+5x^46

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 3.33 seconds.