The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  X  X  1  1  X  1  X  1  1  1  1  1  X  1  1  1
 0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  0  X  0  0  0  0  X  0  0  X  0
 0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  0  X  0  X  X  0  X  0  0  0  0  0  X  X  0
 0  0  0  X  0  0  0  0  0  0  0  0  0  X  0  0  0  0  0  0  0  0  X  0  X  X  X  X  X  X  X  X  0
 0  0  0  0  X  0  0  0  0  0  0  0  0  X  X  X  0  0  X  X  X  X  0  0  X  X  X  X  0  X  0  0  0
 0  0  0  0  0  X  0  0  0  0  0  0  0  X  X  X  X  0  0  0  X  X  X  X  0  0  0  X  X  X  0  0  0
 0  0  0  0  0  0  X  0  0  0  0  0  X  X  0  X  X  0  X  X  X  0  X  0  0  0  0  X  0  0  0  X  X
 0  0  0  0  0  0  0  X  0  0  0  0  X  0  0  0  0  0  0  X  X  X  X  X  X  0  0  X  0  X  0  X  X
 0  0  0  0  0  0  0  0  X  0  0  0  X  0  X  X  0  X  0  0  X  0  X  0  X  0  X  X  0  X  0  0  0
 0  0  0  0  0  0  0  0  0  X  0  0  X  0  X  X  X  X  X  0  0  X  0  0  0  X  X  X  X  0  X  0  0
 0  0  0  0  0  0  0  0  0  0  X  0  X  X  0  X  0  X  X  X  0  0  0  X  X  X  0  0  X  X  X  X  0
 0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  0  X  X  0  X  0  0  X  X  0  0  X  X  0  0  X  X  0

generates a code of length 33 over Z2[X]/(X^2) who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+72x^20+87x^22+240x^24+230x^26+64x^27+376x^28+384x^29+346x^30+960x^31+673x^32+1280x^33+702x^34+960x^35+376x^36+384x^37+392x^38+64x^39+232x^40+210x^42+72x^44+70x^46+6x^48+10x^50+1x^54

The gray image is a linear code over GF(2) with n=66, k=13 and d=20.
This code was found by Heurico 1.16 in 8.53 seconds.