The generator matrix

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

generates a code of length 33 over Z2[X]/(X^2) who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+70x^25+146x^26+150x^27+258x^28+282x^29+280x^30+332x^31+355x^32+378x^33+337x^34+340x^35+287x^36+294x^37+226x^38+124x^39+119x^40+64x^41+33x^42+14x^43+3x^44+1x^46+1x^48+1x^54

The gray image is a linear code over GF(2) with n=66, k=12 and d=25.
This code was found by Heurico 1.16 in 0.849 seconds.