The generator matrix

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

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+220x^24+344x^26+817x^28+1032x^30+1773x^32+1464x^34+1240x^36+664x^38+500x^40+80x^42+54x^44+2x^48+1x^60

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 30 seconds.