The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  X  X  X  X  1  X  X  1  1
 0  X  0  0  0  0  0  0  0  0  0  X  0  0  X  X  0  0  0  0  X  X  0  X  X  X  X  X  0  0  X  0  0
 0  0  X  0  0  0  0  0  0  0  0  X  X  X  X  X  0  0  0  X  X  0  X  0  0  0  X  0  X  0  X  0  0
 0  0  0  X  0  0  0  0  0  0  X  0  X  X  0  X  X  0  X  0  X  X  X  X  X  X  0  0  0  0  X  0  0
 0  0  0  0  X  0  0  0  0  0  X  0  0  X  X  X  X  X  0  X  0  0  0  0  0  X  0  X  X  X  0  0  0
 0  0  0  0  0  X  0  0  0  X  0  0  0  X  X  0  X  0  X  X  X  0  0  X  0  X  X  X  0  0  0  0  0
 0  0  0  0  0  0  X  0  0  X  0  0  X  0  0  X  X  X  0  X  X  0  X  X  X  0  X  0  0  0  0  X  X
 0  0  0  0  0  0  0  X  0  X  X  X  X  0  0  0  0  0  X  X  X  X  0  0  X  X  X  X  0  X  0  X  X
 0  0  0  0  0  0  0  0  X  X  X  X  0  0  X  X  X  0  0  0  X  0  X  0  X  0  0  0  X  X  0  X  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+63x^24+139x^28+80x^30+256x^32+160x^34+187x^36+16x^38+93x^40+25x^44+3x^48+1x^52

The gray image is a linear code over GF(2) with n=66, k=10 and d=24.
This code was found by Heurico 1.16 in 0.0853 seconds.