The generator matrix

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

generates a code of length 33 over Z2[X]/(X^2) who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+26x^29+41x^30+30x^31+36x^32+38x^33+13x^34+12x^35+18x^36+10x^37+8x^38+6x^39+9x^40+2x^41+1x^42+4x^45+1x^46

The gray image is a linear code over GF(2) with n=66, k=8 and d=29.
This code was found by Heurico 1.16 in 0.047 seconds.