The generator matrix

 1  0  0  1  1  1  0  1  1  1  1  1  0  X  0  1  X  1  1  1  0  0  X  1  0  X  0  1  0  0  0  1  1
 0  1  0  1  0  1  1  0  0  1 X+1  X  1  1  0  0  1  1  1 X+1  X  1  0  1  1  1  1  0  X  1  X  X  0
 0  0  1  1  1  0  1  0  1 X+1  X  1  X  1  1  0 X+1  1  1  0  1  0  1  1 X+1 X+1  X  0  1 X+1  1  X  0
 0  0  0  X  0  0  0  0  0  X  0  0  0  0  0  0  0  X  X  X  0  X  X  X  0  0  0  X  0  X  X  X  0
 0  0  0  0  X  0  0  0  0  0  0  0  X  X  X  0  X  X  X  0  0  X  0  X  0  X  X  X  X  X  X  X  0
 0  0  0  0  0  X  0  0  0  0  X  0  0  0  0  X  X  X  0  X  0  X  X  0  0  X  X  X  X  X  0  X  0
 0  0  0  0  0  0  X  0  0  0  0  0  0  X  0  0  X  0  X  X  X  X  X  X  X  X  0  0  0  0  X  0  0
 0  0  0  0  0  0  0  X  0  X  X  X  0  0  X  X  0  0  X  X  0  0  0  0  X  0  X  0  0  X  X  0  0
 0  0  0  0  0  0  0  0  X  0  0  X  X  X  X  X  0  0  0  X  X  0  X  X  X  X  X  X  0  0  0  0  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+72x^24+44x^25+126x^26+156x^27+235x^28+256x^29+265x^30+344x^31+323x^32+424x^33+337x^34+384x^35+283x^36+256x^37+218x^38+136x^39+100x^40+44x^41+64x^42+4x^43+9x^44+13x^46+1x^50+1x^52

The gray image is a linear code over GF(2) with n=66, k=12 and d=24.
This code was found by Heurico 1.16 in 0.905 seconds.