The generator matrix

 1  0  0  0  0  0  1  1  1  X  1  1  0  X  1  0  1  X  0  1  1  1  0  0  0  1  1  1  0  0  1  1  1
 0  1  0  0  0  0  0  0  0  1  1 X+1  0  X X+1  1  1  1  0  1  X  0  1  1  1  1 X+1  1  1  X X+1  1  0
 0  0  1  0  0  0  0  0  0  0  1 X+1  1  1  1  X  0 X+1  1  1  1  1  X X+1  0  1  X  1 X+1  1  1 X+1  0
 0  0  0  1  0  0  0  1  1  1  0 X+1 X+1  0  0  X  1 X+1  X  1 X+1 X+1  1  1  1  0  1  1 X+1  X  0  1  0
 0  0  0  0  1  0  1  1  0  1  0  1  X  1  0 X+1  1  X  X  X  1  X  X  X  0  1  1  0  X  X X+1  0  0
 0  0  0  0  0  1  1  0  1  1  X X+1  X X+1 X+1  0 X+1  1  1 X+1  X X+1  X  X  1  0  0  X  0  1 X+1  1  0
 0  0  0  0  0  0  X  0  0  0  0  0  0  0  0  0  X  X  X  0  X  X  0  X  X  X  0  X  0  X  X  X  0
 0  0  0  0  0  0  0  X  0  0  X  0  X  X  0  X  X  0  X  0  0  0  X  X  X  X  0  0  X  0  0  0  0
 0  0  0  0  0  0  0  0  X  0  0  X  X  X  X  X  X  X  0  0  X  X  0  X  X  X  0  0  0  0  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+119x^22+166x^23+482x^24+502x^25+911x^26+1050x^27+1495x^28+1900x^29+2322x^30+2770x^31+2790x^32+3400x^33+2874x^34+3032x^35+2426x^36+1972x^37+1575x^38+1022x^39+856x^40+386x^41+359x^42+142x^43+127x^44+32x^45+32x^46+10x^47+15x^48

The gray image is a linear code over GF(2) with n=66, k=15 and d=22.
This code was found by Heurico 1.16 in 45.4 seconds.