The generator matrix

 1  0  0  0  0  0  0  1  1  1  1  1  1  X  1  X  X  1  X  1  1  1  0  1  0  1  1  X  1  X  1  1  1
 0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  1  1  1 X+1  1  1  1  X X+1  1  X  X X+1  1  0
 0  0  1  0  0  0  0  0  0  1  1  X X+1  1 X+1  1  1 X+1  1 X+1 X+1  X  1  X  0  1  X X+1 X+1  0 X+1 X+1  0
 0  0  0  1  0  0  0  0  1  0  X X+1  1  1 X+1  X  X X+1  1  1 X+1  1 X+1  X X+1  0  1  X  X  0  0  X X+1
 0  0  0  0  1  0  0  0  1  1  0 X+1  0 X+1 X+1  X  X  0  X  X  1  0  1 X+1  X  1 X+1 X+1  0  X  X  0  0
 0  0  0  0  0  1  0  1  0 X+1  X  X X+1  0  X  1  1  0 X+1  1  X  1  X  X  0  X  0  X  1  1 X+1  0  0
 0  0  0  0  0  0  1  1 X+1  X X+1  X  X  1  X X+1  X  1  1  1  1  X  X  0  1  0  0  0  1  1 X+1  X  0
 0  0  0  0  0  0  0  X  X  0  X  0  0  0  X  0  X  0  X  0  0  X  0  0  0  X  X  X  X  X  0  X  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+104x^22+144x^23+337x^24+562x^25+758x^26+1156x^27+1542x^28+1810x^29+2368x^30+2818x^31+2986x^32+3200x^33+3092x^34+3008x^35+2510x^36+2024x^37+1574x^38+1060x^39+725x^40+430x^41+284x^42+124x^43+84x^44+38x^45+10x^46+10x^47+7x^48+2x^50

The gray image is a linear code over GF(2) with n=66, k=15 and d=22.
This code was found by Heurico 1.11 in 19.5 seconds.