The generator matrix

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

generates a code of length 33 over Z2[X]/(X^2) who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+41x^22+86x^23+228x^24+282x^25+433x^26+584x^27+726x^28+930x^29+1147x^30+1370x^31+1527x^32+1620x^33+1465x^34+1408x^35+1198x^36+1044x^37+799x^38+554x^39+368x^40+210x^41+195x^42+88x^43+42x^44+10x^45+13x^46+6x^47+4x^48+3x^50+2x^52

The gray image is a linear code over GF(2) with n=66, k=14 and d=22.
This code was found by Heurico 1.16 in 22 seconds.