The generator matrix

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

generates a code of length 33 over Z2[X]/(X^2) who´s minimum homogenous weight is 23.

Homogenous weight enumerator: w(x)=1x^0+64x^23+196x^24+298x^25+426x^26+554x^27+811x^28+944x^29+1148x^30+1370x^31+1438x^32+1632x^33+1560x^34+1504x^35+1258x^36+972x^37+828x^38+528x^39+338x^40+246x^41+126x^42+70x^43+43x^44+4x^45+8x^46+6x^47+11x^48

The gray image is a linear code over GF(2) with n=66, k=14 and d=23.
This code was found by Heurico 1.16 in 33.3 seconds.