The generator matrix

 1  0  0  0  0  1  1  1  0  1  1  X  1  0  1  0  1  0  1  1  1  X  X  1  X  1  1  1  1  0  0  1  1
 0  1  0  0  0  0  0  0  0  1 X+1  1  1  1 X+1  1  X  1  0  0  X  1  1 X+1  X X+1  1  1 X+1  1  1  X  0
 0  0  1  0  0  0  1  1  1  1  1  0  X  0  0  1  X X+1  1 X+1  0  0 X+1  1  0  X  0 X+1 X+1  X X+1  1  0
 0  0  0  1  0  1  1  0  1  0  0  1  1  1 X+1 X+1 X+1  0  0  1  X  X X+1  1  1  X  1  X X+1  X  0  X  1
 0  0  0  0  1  1  0  1  1  0  1  0  X  1  1  0  0  1  0  1  1  1 X+1 X+1 X+1 X+1  1 X+1  1 X+1  0 X+1  1
 0  0  0  0  0  X  0  0  0  0  0  0  X  X  0  X  0  0  X  X  X  X  0  X  0  X  X  0  X  0  X  X  0
 0  0  0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  0  0  X  0  X  X  0  0  0  X
 0  0  0  0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  X  X  X  0
 0  0  0  0  0  0  0  0  X  0  X  X  X  X  0  0  X  X  X  X  X  X  0  0  X  0  X  0  X  X  X  0  X
 0  0  0  0  0  0  0  0  0  X  X  0  0  X  X  0  0  0  0  X  X  X  X  X  0  0  0  0  X  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+102x^22+154x^23+350x^24+496x^25+824x^26+1072x^27+1511x^28+1938x^29+2291x^30+2788x^31+3066x^32+3304x^33+3101x^34+3016x^35+2398x^36+2012x^37+1580x^38+1034x^39+736x^40+408x^41+266x^42+120x^43+123x^44+34x^45+27x^46+8x^47+7x^48+1x^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 1.16 in 43.6 seconds.