The generator matrix

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

generates a code of length 33 over Z2[X]/(X^2) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+152x^24+406x^26+888x^28+1154x^30+1533x^32+1364x^34+1317x^36+828x^38+421x^40+86x^42+34x^44+2x^46+4x^48+1x^52+1x^56

The gray image is a linear code over GF(2) with n=66, k=13 and d=24.
This code was found by Heurico 1.16 in 3.52 seconds.