The generator matrix

 1  0  0  1  1  1  0  1  1  1  1  0  X  0  1  1  1  1  X  0  X  1  0  1  1  1  X  1  1  1  1  1  1
 0  1  0  1  0  1  1  0  0  1  1  1  1  X  0  0  1 X+1  1  1  1 X+1  1  1  1  X  0  X  1  X  X  0  0
 0  0  1  1  1  0  1  0  1  1  0  X  1  1  0 X+1 X+1  0  1  0  1  0  X  1  0  0  1  0  X  1  1  0  0
 0  0  0  X  0  0  0  0  0  0  0  X  0  X  0  X  X  0  0  X  0  X  X  0  0  0  X  X  0  0  0  0  0
 0  0  0  0  X  0  0  0  0  0  0  X  X  0  0  X  X  X  0  0  X  0  X  0  X  X  0  X  X  X  0  0  0
 0  0  0  0  0  X  0  0  0  0  0  0  X  X  0  X  X  X  X  0  0  X  0  0  0  X  0  X  0  X  0  0  0
 0  0  0  0  0  0  X  0  0  0  0  0  X  0  X  X  X  0  X  X  0  0  X  0  0  0  0  X  X  0  0  0  0
 0  0  0  0  0  0  0  X  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  0  0  X  0  0  X  0  X  0  0
 0  0  0  0  0  0  0  0  X  0  0  X  X  0  X  X  0  X  X  X  X  X  0  X  0  0  0  0  X  0  0  0  0
 0  0  0  0  0  0  0  0  0  X  0  X  0  X  X  0  X  X  X  0  0  0  X  0  0  X  0  0  X  X  X  X  0
 0  0  0  0  0  0  0  0  0  0  X  0  X  X  X  0  0  X  X  X  0  0  0  X  X  X  0  X  X  X  0  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+32x^20+118x^22+313x^24+745x^26+1438x^28+2409x^30+3120x^32+3125x^34+2468x^36+1437x^38+719x^40+315x^42+94x^44+35x^46+7x^48+7x^50+1x^54

The gray image is a linear code over GF(2) with n=66, k=14 and d=20.
This code was found by Heurico 1.16 in 10.5 seconds.